Carat to Slug Converter

Convert carats to slugs with our free online weight converter.

Quick Answer

1 Carat = 0.0000137 slugs

Formula: Carat × conversion factor = Slug

Use the calculator below for instant, accurate conversions.

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Last verified: December 2025Reviewed by: Sam Mathew, Software Engineer

Carat to Slug Calculator

How to Use the Carat to Slug Calculator:

  1. Enter the value you want to convert in the 'From' field (Carat).
  2. The converted value in Slug will appear automatically in the 'To' field.
  3. Use the dropdown menus to select different units within the Weight category.
  4. Click the swap button (⇌) to reverse the conversion direction.
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How to Convert Carat to Slug: Step-by-Step Guide

Converting Carat to Slug involves multiplying the value by a specific conversion factor, as shown in the formula below.

Formula:

1 Carat = 0.0000137044 slugs

Example Calculation:

Convert 5 carats: 5 × 0.0000137044 = 0.000068522 slugs

Disclaimer: For Reference Only

These conversion results are provided for informational purposes only. While we strive for accuracy, we make no guarantees regarding the precision of these results, especially for conversions involving extremely large or small numbers which may be subject to the inherent limitations of standard computer floating-point arithmetic.

Not for professional use. Results should be verified before use in any critical application. View our Terms of Service for more information.

What is a Carat and a Slug?

A carat (symbol: ct) is a unit of mass used exclusively for measuring gemstones and pearls, defined as:

1 carat = 200 milligrams (mg) = 0.2 grams (g)

Carat vs. Karat: Critical Distinction

Carat (ct) = Gemstone weight

  • Measures mass of diamonds, rubies, sapphires, emeralds, pearls, etc.
  • 1 ct = 200 mg

Karat (K or kt) = Gold purity

  • Measures proportion of pure gold in an alloy
  • 24K = 100% pure gold
  • 18K = 75% gold (18/24)
  • 14K = 58.3% gold (14/24)

Spelling/Pronunciation:

  • United States: "Carat" (gemstones), "Karat" (gold) - different spellings
  • UK/Commonwealth: Often "carat" for both, distinguished by context (ct vs. K)
  • Pronunciation: Both pronounced identically ("CARE-ut")

Example: An 18-karat gold ring set with a 2-carat diamond contains gold that is 75% pure and a diamond weighing 400 mg.

Points: The Carat Subdivision

In the gem trade, carats are divided into 100 points:

  • 1 carat = 100 points
  • 0.01 carat = 1 point

Trade Terminology:

  • "50-pointer" = 0.50 carat (50 points)
  • "Three-quarter carat" = 0.75 ct (75 points)
  • "10-point diamond" = 0.10 ct

Points allow precise specification of smaller gemstones and enable pricing granularity.


What Is a Slug?

The slug (symbol: sl or slug) is a unit of mass in the Foot-Pound-Second (FPS) system of imperial units. It is defined through Newton's second law of motion (F = ma):

1 slug = 1 lbf / (1 ft/s²)

In words: one slug is the mass that accelerates at one foot per second squared when a force of one pound-force is applied to it.

Exact Value

1 slug = 32.17404855... pounds-mass (lbm) ≈ 32.174 lbm

1 slug = 14.593902937206... kilograms ≈ 14.5939 kg

These values derive from the standard acceleration due to gravity: g = 32.174 ft/s² = 9.80665 m/s².

The Pound Confusion

The imperial system has a fundamental ambiguity: the word "pound" means two different things:

Pound-mass (lbm):

  • A unit of mass (quantity of matter)
  • An object has the same pound-mass everywhere in the universe
  • Symbol: lbm

Pound-force (lbf):

  • A unit of force (weight)
  • The force exerted by one pound-mass under standard Earth gravity
  • Symbol: lbf
  • 1 lbf = 1 lbm × 32.174 ft/s² (weight = mass × gravity)

This creates confusion because in everyday language, "pound" can mean either, depending on context. The slug eliminates this ambiguity by serving as an unambiguous mass unit compatible with pound-force.

Why the Slug Matters: Making F = ma Work

Newton's second law: F = ma (Force = mass × acceleration)

Problem with pounds-mass and pounds-force: If you use lbm for mass and lbf for force, Newton's law becomes: F = ma / g_c

where g_c = 32.174 lbm·ft/(lbf·s²) is a dimensional conversion constant—ugly and error-prone!

Solution with slugs: Using slugs for mass and lbf for force, Newton's law works cleanly: F = ma (no extra constants needed!)

Example:

  • Force: 10 lbf
  • Acceleration: 5 ft/s²
  • Mass: F/a = 10 lbf / 5 ft/s² = 2 slugs
  • (Or in lbm: mass = 2 slugs × 32.174 = 64.348 lbm)

FPS System

The slug is part of the Foot-Pound-Second (FPS) system, also called the British Gravitational System or English Engineering System:

  • Length: foot (ft)
  • Force: pound-force (lbf)
  • Time: second (s)
  • Mass: slug (sl)
  • Acceleration: feet per second squared (ft/s²)

This contrasts with the SI system (meter, kilogram, second, newton) and the pound-mass system (foot, pound-mass, second, poundal).


Note: The Carat is part of the imperial/US customary system, primarily used in the US, UK, and Canada for everyday measurements. The Slug belongs to the imperial/US customary system.

History of the Carat and Slug

of the Carat

Ancient Origins: Carob Seeds (c. 3000 BCE - 500 CE)

The Carob Tree:

  • Carob tree (Ceratonia siliqua): Native to Mediterranean region
  • Produces seed pods containing small, hard seeds
  • Ancient belief: Carob seeds had remarkably uniform weight (~200 mg)

Early Use as Weights:

  • Ancient Greece: Used carob seeds ("keration") as counterweights on balance scales
  • Roman Empire: Adopted Greek practice for weighing gems, gold, medicines
  • Middle East & India: Arab and Indian merchants used carob or similar seeds
  • Reason: Small, portable, abundant, believed to be consistent

Reality Check: Modern analysis shows carob seeds actually vary by 10-20% in weight (180-220 mg), so ancient measurements weren't as precise as believed. However, the average (~200 mg) remarkably matches the modern standard.

Medieval to Early Modern Period (500-1800 CE)

Divergent Regional Standards: As gem trade expanded across Europe, Middle East, and Asia, different regions developed local carat standards:

European Carats:

  • Florence (Italy): ~197 mg
  • Amsterdam (Netherlands): ~205.3 mg
  • Paris (France): ~205 mg
  • London (UK): ~205.3 mg
  • Venice (Italy): ~207 mg

Ottoman Empire:

  • Constantinople carat: ~200-205 mg (varied over time)

India:

  • Mangelin (Madras): ~193 mg
  • Rati: Ancient Indian unit (~188 mg), still used traditionally for pearls

Problems:

  • International gem trade faced confusion: "Is this a Florence carat or Amsterdam carat?"
  • Disputes over weight and pricing
  • Fraudulent practices exploiting different standards

The Diamond Revolution (1800s)

South African Diamond Discoveries (1867-1870s):

  • Discovery of diamonds at Kimberley, South Africa
  • Massive increase in diamond supply
  • Rise of industrial diamond mining
  • Expansion of international diamond trade

De Beers Consolidation:

  • Cecil Rhodes founded De Beers Mining Company (1888)
  • Consolidated South African diamond production
  • Established control over global diamond supply
  • Created need for international weight standard

Growing Trade Complexity:

  • Diamonds moved from South Africa → London → Antwerp → New York → global markets
  • Multiple carat standards caused pricing inconsistencies
  • Insurers, traders, cutters demanded standardization

International Standardization (1907-1914)

Fourth General Conference on Weights and Measures (1907):

  • Convened in Paris to expand metric system
  • International gem trade representatives advocated for uniform carat
  • Proposal: Define carat as exactly 200 milligrams
  • Rationale: Close to existing averages, clean metric value

Advantages of 200 mg:

  • Simple metric conversion: 5 carats = 1 gram
  • Close to historical average: Most European carats were 197-207 mg
  • No major disruption: Minimal adjustment for major markets
  • Decimal-friendly: Easy calculation and subdivision

Global Adoption:

  • 1907: Metric carat adopted at CGPM Paris
  • 1913: United States codified 200 mg carat in federal law
  • 1914: Antwerp (Belgium), London (UK), New York officially adopted
  • 1920s-1930s: Remaining gem centers transitioned
  • By 1950s: Universal acceptance worldwide

The Modern Diamond Industry (1930s-Present)

The "Four Cs" Framework (1940s):

  • Gemological Institute of America (GIA) established 1931
  • Robert M. Shipley (GIA founder) popularized diamond grading
  • 1940s: GIA codified the "Four Cs" of diamond quality:
    1. Carat (weight)
    2. Cut (proportions, symmetry, polish)
    3. Color (D-to-Z scale, D = colorless)
    4. Clarity (internal inclusions, external blemishes)

Carat as Primary Value Driver:

  • Of the Four Cs, carat weight is most objective (precise scale measurement)
  • Cut, color, clarity require expert judgment
  • Carat directly determines size (larger diamonds rarer, more valuable)
  • Price per carat increases exponentially with weight

Diamond Certification:

  • GIA, International Gemological Institute (IGI), and others issue certificates
  • Certificates specify carat weight to 0.01 ct precision
  • Example: "1.27 carats" (127 points), measured to ±0.005 ct accuracy

Electronic Precision Scales:

  • Modern gem scales measure to 0.001 carat (0.2 mg precision)
  • Temperature-controlled environments ensure accuracy
  • Calibrated against reference standards traceable to SI kilogram

Contemporary Developments (1990s-Present)

Synthetic Diamonds:

  • Lab-grown diamonds (HPHT, CVD methods) entered market
  • Sold by carat, like natural diamonds
  • Price typically 30-70% less than natural for same carat weight

Online Diamond Trade:

  • Internet sellers (Blue Nile, James Allen, etc.) list specifications including exact carat weight
  • Photos, videos, 360° views help buyers assess size
  • Carat weight filtering standard on all sites

Famous Large Diamonds:

  • Modern discoveries and sales emphasize carat weight as headline figure
  • "Largest diamond found in 100 years: 1,109 carats!"

The Imperial Weight-Mass Problem (Pre-1900)

Before the slug was invented, the imperial system created confusion between weight (force due to gravity) and mass (quantity of matter):

Common usage: "Pound" meant weight (what a scale measures on Earth)

  • "This weighs 10 pounds" meant 10 pounds-force (10 lbf)

Scientific usage: "Pound" could mean mass (quantity of matter)

  • "This has 10 pounds of mass" meant 10 pounds-mass (10 lbm)

The problem: Newton's laws of motion require distinguishing force from mass. Using "pound" for both led to:

  • Confusion in physics calculations
  • Need for awkward gravitational conversion constants
  • Errors in engineering (mixing lbf and lbm)

Arthur Mason Worthington (1852-1916)

Arthur Mason Worthington was a British physicist and professor at the Royal Naval College, Greenwich, known for his pioneering work in:

  • High-speed photography of liquid drops and splashes
  • Physics education and textbook writing
  • Developing clearer terminology for imperial units

Around 1900, Worthington recognized that the imperial system needed a mass unit analogous to the kilogram—a unit that would make Newton's second law (F = ma) work without conversion factors.

The Slug's Introduction (c. 1900-1920)

Worthington proposed the slug as a solution:

The name: "Slug" evokes sluggishness—the tendency of massive objects to resist acceleration (inertia). A more massive object is more "sluggish" in responding to forces.

The definition: 1 slug = mass that accelerates at 1 ft/s² under 1 lbf

The relationship: 1 slug = 32.174 lbm (approximately)

This ratio (32.174) is not arbitrary—it equals the standard acceleration due to gravity in ft/s² (g = 32.174 ft/s²). This means:

  • On Earth's surface, a 1-slug mass weighs 32.174 lbf
  • On Earth's surface, a 1-lbm mass weighs 1 lbf

Adoption in Engineering Education (1920s-1940s)

The slug gained acceptance in American and British engineering textbooks during the early 20th century:

Advantages recognized:

  • Simplified dynamics calculations (F = ma without g_c)
  • Clearer distinction between force and mass
  • Consistency with scientific notation (separating weight from mass)

Textbook adoption: Engineering mechanics books by authors like Beer & Johnston, Meriam & Kraige, and Hibbeler introduced the slug to generations of engineering students

University courses: American aerospace and mechanical engineering programs taught dynamics using the FPS system with slugs

Aerospace Era Embrace (1940s-1970s)

The slug became essential in American aerospace during the mid-20th century:

NACA/NASA adoption (1940s-1970s):

  • Aircraft performance calculations used slugs for mass
  • Rocket dynamics required precise force-mass-acceleration relationships
  • Apollo program documentation used slugs extensively

Military ballistics:

  • Artillery trajectory calculations
  • Rocket and missile design
  • Aircraft carrier catapult systems

Engineering standards:

  • ASME and SAE specifications sometimes used slugs
  • Aerospace contractor documentation (Boeing, Lockheed, etc.)

Decline with Metrication (1960s-Present)

Despite its technical superiority, the slug declined for several reasons:

International metrication (1960s onward):

  • Most countries adopted SI units (kilogram for mass, newton for force)
  • International aerospace and scientific collaboration required metric
  • Slug never gained traction outside English-speaking countries

Everyday unfamiliarity:

  • People use pounds (lbm/lbf) in daily life, not slugs
  • No one says "I weigh 5 slugs" (they say "160 pounds")
  • Slug remained a technical unit, never entering popular vocabulary

Educational shifts:

  • Even American universities increasingly teach SI units first
  • Engineering courses present slugs as "alternative" or "legacy" units

Software standardization:

  • Modern engineering software defaults to SI (kg, N, m)
  • Maintaining slug support became maintenance burden

Where Slugs Survive Today

The slug persists in specific technical niches:

American aerospace engineering:

  • Aircraft weight and balance calculations (sometimes)
  • Rocket propulsion dynamics
  • Legacy documentation from NASA programs

Mechanical engineering dynamics courses:

  • Teaching Newton's laws in FPS units
  • Demonstrating unit system consistency

Ballistics and defense:

  • Military projectile calculations
  • Explosive dynamics

Historical technical documentation:

  • 20th-century engineering reports and specifications
  • Understanding legacy systems and equipment

Common Uses and Applications: carats vs slugs

Explore the typical applications for both Carat (imperial/US) and Slug (imperial/US) to understand their common contexts.

Common Uses for carats

of the Carat in Modern Contexts

1. Jewelry Retail and E-Commerce

Every jewelry store and online retailer specifies carat weight:

  • Product listings: "1.5 ct Diamond Solitaire Ring"
  • Filters: Search by carat range (0.5-0.75 ct, 0.75-1.0 ct, etc.)
  • Pricing: Often listed as "price per carat"
  • Certification: GIA, IGI certificates state precise carat weight

Example Product Description:

"18K White Gold Engagement Ring featuring a 1.27 ct Round Brilliant Cut Diamond (G color, VS2 clarity, Excellent cut) with 0.25 ct total weight of side stones."

2. Gemological Laboratories

Institutions like GIA, IGI, AGS (American Gem Society) issue certificates:

  • Carat weight: Measured to 0.01 ct precision
  • Measurement: Length, width, depth in millimeters
  • Report number: Unique identifier
  • Laser inscription: Microscopic certificate number on diamond girdle

Certificate ensures:

  • Buyer knows exact weight
  • Seller can't misrepresent size
  • International trade transparency

3. Auction Houses and High-Value Sales

Christie's, Sotheby's, and other auction houses emphasize carat weight:

  • Lot descriptions: "Lot 345: 10.12 ct Fancy Vivid Blue Diamond Ring"
  • Estimates: "$2-3 million" (often $200,000-$500,000 per carat for rare colors)
  • Hammer prices: Record sales widely reported by carat

Recent Record Sales:

  • Pink Star (59.60 ct): $71.2 million (2017) = $1.195 million/ct
  • Oppenheimer Blue (14.62 ct): $57.5 million (2016) = $3.93 million/ct

4. Mining and Rough Diamond Trade

Diamond mines report production in carats:

  • Botswana (Debswana mines): ~23 million carats annually
  • Russia (Alrosa): ~28 million carats annually
  • Canada (Diavik, Ekati): ~6 million carats annually

Rough Diamond Pricing:

  • Sold by carat at rough diamond exchanges (Antwerp, Dubai, Mumbai)
  • Average rough prices: $50-$150 per carat (varies by quality)
  • High-quality rough: $300-$500+ per carat

5. Customs and Import/Export

International gem trade requires carat weight declarations:

  • Harmonized System (HS) codes: Classify gems by type and weight
  • Import duties: Often based on declared carat weight and value
  • Kimberley Process Certification: Anti-conflict diamond scheme specifies carat weight

Example: Importing 1,000 ct of rough diamonds into EU requires documentation with precise weight.

6. Insurance and Appraisals

Jewelry insurance policies specify carat weight:

  • Appraisal: "1.52 ct center stone, 0.40 ct total side stones"
  • Replacement value: Based on carat × price-per-carat for quality
  • Loss claims: Carat weight determines payout

Example Policy: "Insured item: Platinum ring with 2.03 ct diamond (H color, VS1). Replacement value: $18,000. Annual premium: $180 (1% of value)."

7. Consumer Education and Marketing

Jewelry retailers educate customers using the Four Cs:

  • In-store displays: Charts showing carat sizes
  • Online tools: Interactive "build your ring" showing carat options with price updates
  • Marketing: "50% larger diamond for only 30% more!" (e.g., 0.75 ct vs. 0.50 ct)

De Beers "A Diamond is Forever" Campaign:

  • Emphasized carat size as symbol of commitment
  • "Two months' salary" guideline (now ~one month average)

When to Use slugs

1. Aerospace Engineering and Aircraft Dynamics

Aerospace engineers use slugs when working in imperial units for aircraft and spacecraft calculations:

Aircraft weight and balance:

  • Empty weight: 100,000 lbs = 3,108 slugs
  • Loaded weight: 175,000 lbs = 5,440 slugs
  • Center of gravity calculations using slugs for mass distribution

Rocket dynamics (Newton's F = ma):

  • Thrust: 750,000 lbf
  • Mass: 50,000 slugs (initial), decreasing as fuel burns
  • Acceleration: F/m = 750,000 lbf / 50,000 slugs = 15 ft/s²

Orbital mechanics:

  • Satellite mass in slugs
  • Thrust-to-weight calculations
  • Momentum and angular momentum in slug·ft/s units

2. Mechanical Engineering Dynamics

Engineering students and professionals analyze motion using slugs:

Newton's second law problems:

  • Force: 50 lbf
  • Acceleration: 10 ft/s²
  • Mass: F/a = 50/10 = 5 slugs (no gravitational constant needed!)

Momentum calculations (p = mv):

  • Car mass: 77.7 slugs (2,500 lbs)
  • Velocity: 60 ft/s
  • Momentum: p = 77.7 × 60 = 4,662 slug·ft/s

Rotational dynamics (moment of inertia):

  • I = mr² (with mass in slugs, radius in feet)
  • Flywheel: mass = 10 slugs, radius = 2 ft
  • I = 10 × 2² = 40 slug·ft²

3. Ballistics and Projectile Motion

Military and firearms engineers use slugs for projectile calculations:

Artillery shell trajectory:

  • Shell mass: 0.932 slugs (30 lbs)
  • Muzzle force: 50,000 lbf
  • Acceleration: a = F/m = 50,000/0.932 = 53,648 ft/s²

Bullet dynamics:

  • Bullet mass: 0.000466 slug (150 grains = 0.0214 lbm)
  • Chamber pressure force: 0.5 lbf (approximate average)
  • Barrel acceleration calculation

Recoil analysis:

  • Conservation of momentum (m_gun × v_gun = m_bullet × v_bullet)
  • Gun mass: 6.22 slugs (200 lbs)
  • Calculating recoil velocity in ft/s

4. Physics Education and Problem Sets

High school and college physics courses teaching imperial units:

Demonstrating unit consistency:

  • Showing that F = ma works directly with slugs
  • Contrasting with the g_c requirement when using lbm

Inclined plane problems:

  • Block mass: 2 slugs
  • Angle: 30°
  • Friction force calculations in lbf

Atwood machine:

  • Two masses in slugs
  • Pulley system acceleration
  • Tension forces in lbf

5. Automotive Engineering

Vehicle dynamics calculations using imperial units:

Braking force analysis:

  • Car mass: 93.2 slugs (3,000 lbs)
  • Deceleration: 20 ft/s² (emergency braking)
  • Required braking force: F = ma = 93.2 × 20 = 1,864 lbf

Acceleration performance:

  • Engine force (at wheels): 3,000 lbf
  • Car mass: 77.7 slugs (2,500 lbs)
  • Acceleration: a = F/m = 3,000/77.7 = 38.6 ft/s²

Suspension design:

  • Spring force (F = kx) in lbf
  • Sprung mass in slugs
  • Natural frequency calculations

6. Structural Dynamics and Vibration

Engineers analyzing oscillating systems in imperial units:

Simple harmonic motion:

  • F = -kx (Hooke's law, force in lbf)
  • m = mass in slugs
  • Natural frequency: ω = √(k/m) where m is in slugs

Seismic analysis:

  • Building mass: distributed load in slugs per floor
  • Earthquake force (F = ma) with acceleration in ft/s²

Mechanical vibrations:

  • Damping force proportional to velocity
  • Mass-spring-damper systems with m in slugs

7. Fluid Dynamics and Hydraulics

Flow and pressure calculations when using imperial units:

Momentum of flowing fluid:

  • Mass flow rate: ṁ = ρAv (density in slug/ft³, area in ft², velocity in ft/s)
  • Force on pipe bend: F = ṁΔv (in lbf)

Pipe flow:

  • Water density: 1.938 slug/ft³ (at 68°F)
  • Pressure drop calculations
  • Pump power requirements

Aerodynamic forces:

  • Drag force (lbf) = ½ ρ v² A C_D
  • Air density: 0.00238 slug/ft³ (sea level, standard conditions)

Additional Unit Information

About Carat (ct)

1. How many milligrams are in a carat?

There are exactly 200 milligrams (mg) in 1 carat (ct). This precise definition was adopted internationally in 1907 at the Fourth General Conference on Weights and Measures in Paris and has been the global standard ever since. The 200 mg figure was chosen because it was close to the average of various historical carat standards (which ranged from 188-215 mg across different regions) and because it creates a clean metric conversion: 5 carats = 1 gram. Modern gemological laboratories use precision electronic scales that can measure to 0.001 carat (0.2 mg) accuracy, ensuring consistent and transparent gem trade worldwide. For comparison, a US dollar bill weighs approximately 1 gram = 5 carats, and a paperclip weighs ~1 gram = 5 carats. The 200 mg standard is legally enforced by metrology institutes in all countries, making carat weight the most objective and reliable of the "Four Cs" of diamond grading.

2. How many grams are in a carat?

There are exactly 0.2 grams (g) in 1 carat (ct), or conversely, 5 carats = 1 gram. This makes conversion straightforward: multiply carats by 0.2 to get grams, or multiply grams by 5 to get carats. Example: A 2.5-carat diamond weighs 2.5 × 0.2 = 0.5 grams (500 mg). The famous Hope Diamond (45.52 carats) weighs 45.52 × 0.2 = 9.104 grams. This clean metric relationship (5:1 ratio) was one reason the 200 mg standard was adopted in 1907—it integrates seamlessly with the metric system used globally in science and commerce. For context, a single M&M candy weighs approximately 1 gram = 5 carats, and a US nickel (5-cent coin) weighs 5 grams = 25 carats. The simplicity of the 5:1 carat-to-gram ratio facilitates international gem trade calculations and customs declarations.

3. Is carat the same as karat?

No, carat (ct) and karat (K or kt) are completely different units: Carat (ct) measures gemstone weight—1 ct = 200 mg. Used for diamonds, rubies, sapphires, emeralds, pearls, etc. Karat (K) measures gold purity—24K = 100% pure gold, 18K = 75% gold, 14K = 58.3% gold, etc. The fraction of pure gold is: (karat value ÷ 24). Example: 18K gold = 18/24 = 0.75 = 75% gold, 25% other metals (copper, silver, zinc for strength/color). Etymology: Both derive from the same root—"keration" (Greek for carob seed)—but diverged in meaning. In the US, different spellings distinguish them (carat/karat). In UK/Commonwealth, "carat" is used for both, distinguished by context and symbol (ct vs. K). Common example: "18-karat white gold engagement ring with a 1.5-carat diamond" correctly uses both units. Mixing them up causes confusion: "18-carat gold" is meaningless (gold purity isn't measured in gemstone weight units).

4. Why do diamonds cost more per carat as size increases?

Diamond prices exhibit exponential scaling—larger diamonds are disproportionately rarer, so price per carat increases with size. This is called the "carat premium." Example pricing (excellent cut, G color, VS2 clarity): 0.50 ct: $2,000 total = $4,000/ct. 1.00 ct: $6,000 total = $6,000/ct (50% higher per-carat than 0.5 ct). 2.00 ct: $22,000 total = $11,000/ct (83% higher per-carat than 1 ct, 175% higher than 0.5 ct). Why? Rarity: Only ~1 in 1,000 rough diamonds yields a 1-carat polished diamond; only ~1 in 1 million yields 2+ carats. Mining yields mostly small stones. Psychological milestones: Whole carat sizes (1.0, 2.0, 3.0) are culturally significant, driving demand and premiums. Implication: A 2-ct diamond costs ~3-4× more than a 1-ct diamond of identical quality, not 2×. Conversely, buying slightly below milestones (0.90 ct instead of 1.0 ct) can save 15-20% with negligible visual difference.

5. What's the largest diamond ever found?

The largest gem-quality rough diamond ever discovered is the Cullinan Diamond, found on January 26, 1905, at the Premier Mine in Cullinan, South Africa. It weighed an astonishing 3,106.75 carats (621.35 grams, about 1.37 pounds)—roughly the size of a human fist. The diamond was presented to King Edward VII of the United Kingdom and was subsequently cut by Joseph Asscher & Co. in Amsterdam into 9 major gems and 96 smaller brilliants: Cullinan I ("Great Star of Africa"): 530.2 carats, the largest clear-cut diamond in the world, set in the British Royal Sceptre. Cullinan II ("Second Star of Africa"): 317.4 carats, set in the British Imperial State Crown. Both are part of the British Crown Jewels displayed in the Tower of London. Other large rough diamonds: Lesedi La Rona (2015, Botswana): 1,109 carats. Sewelô (2019, Botswana): 1,758 carats (second-largest ever). However, the largest cut and faceted diamond is the Golden Jubilee at 545.67 carats, owned by the Thai Royal Family.

6. Do all gemstones of the same carat weight look the same size?

No! Carat is weight, not size, and different gemstones have different densities (specific gravity), so the same carat weight yields different sizes: 1-carat diamond (SG 3.52): ~6.5 mm diameter (round brilliant). 1-carat ruby/sapphire (SG ~4.0, denser than diamond): ~6.0 mm diameter—looks smaller than diamond. 1-carat emerald (SG ~2.71, less dense than diamond): ~6.9 mm diameter—looks larger than diamond. 1-carat opal (SG ~2.15, much less dense): ~7.5 mm diameter—looks much larger. Implication for buyers: If you want a larger-looking stone for the same budget, emeralds, aquamarines, or opals provide more "visual carat" than diamonds. However, diamonds are harder (Mohs 10) and more durable for daily wear. Cut also matters: A shallow-cut diamond may "spread" to look larger but sacrifices brilliance. A deep-cut diamond looks smaller but may have better light performance. Conclusion: Carat weight alone doesn't determine visual size—gemstone density and cut proportions both matter.

7. Are lab-grown diamonds measured in carats?

Yes, lab-grown (synthetic) diamonds are measured in carats identically to natural diamonds. They are chemically, physically, and optically identical to natural diamonds—pure crystalline carbon (C) with the same hardness (Mohs 10), refractive index (2.42), and density (3.52 g/cm³). Gemological laboratories (GIA, IGI) grade lab-grown diamonds using the same Four Cs (carat, cut, color, clarity) and issue certificates specifying exact carat weight. Key differences: Origin: Lab-grown created in controlled environments (HPHT or CVD methods) in weeks; natural formed over billions of years deep in Earth's mantle. Price: Lab-grown cost 30-70% less than natural diamonds of equivalent quality (e.g., 1 ct lab-grown ~$1,500-$3,000; natural ~$5,000-$8,000). Disclosure: Sellers must disclose lab-grown status; GIA certificates clearly state "laboratory-grown." Market: Growing acceptance, especially among younger, budget-conscious, or environmentally-minded buyers. Some prefer natural for rarity/tradition; others prefer lab-grown for value/ethics. Carat weight identical: 1 carat lab-grown = 200 mg, same as natural.

8. How accurate are carat weight measurements?

Modern carat weight measurements are extremely accurate, thanks to precision electronic scales: Precision: Gemological laboratories use scales calibrated to ±0.001 carat (±0.2 mg), often better. For reference, that's ~1/5th the weight of a single grain of table salt. Calibration: Scales are regularly calibrated against traceable reference standards linked to the SI kilogram (maintained by the International Bureau of Weights and Measures). Environmental control: Measurements performed in temperature-controlled rooms (~20-25°C) to prevent thermal expansion affecting readings. Cleaning: Gemstones cleaned before weighing (dirt, oils, or dust add weight). Repeatability: Multiple measurements averaged to ensure consistency. Certification: GIA, IGI, AGS certificates report carat weight to 0.01 ct (1 point) for consistency: e.g., "1.27 carats," measured to ±0.005 ct. Legal enforcement: Selling gemstones with misrepresented carat weight is fraud in most jurisdictions, punishable by fines and criminal penalties. Result: Carat weight is the most objective, precise, and reproducible of the Four Cs—far more consistent than subjective cut, color, or clarity grading.

9. What does "points" mean in diamond terminology?

In gem trade, 1 carat = 100 points, so 1 point = 0.01 carat = 2 milligrams. "Points" terminology allows precise description of smaller gemstones and fractional carats: Common examples: "50-pointer" = 0.50 carat (50 points). "75-point diamond" = 0.75 carat. "10-point melee" = 0.10 carat (small accent stones). "One-pointer" = 0.01 carat (tiny chip diamonds used in pavé settings). Why use points? Easier for small stones: Saying "ten-pointer" is quicker than "zero-point-one-carat." Pricing precision: Allows price-per-point calculations for wholesale. Trade jargon: Professional jewelers, cutters, and traders use points routinely. Historical: Predates electronic scales; points allowed finer distinctions than early balance scales. Example in retail: "This ring features a 75-point center diamond surrounded by 20 points total weight of accent stones" = 0.75 ct + 0.20 ct = 0.95 ct total carat weight (TCW). Note: While points are common in trade, consumer-facing marketing usually uses decimals: "0.50 ct" rather than "50 points."

10. Why did ancient people use carob seeds to weigh gems?

Ancient Mediterranean merchants used carob seeds (Ceratonia siliqua) as counterweights on balance scales because they believed these seeds had remarkably uniform weight—approximately 200 milligrams each, close to today's carat standard. Practical advantages: Abundance: Carob trees grew widely across Mediterranean (Greece, Italy, Middle East), making seeds readily available. Portability: Small, lightweight seeds easy to carry in pouches for trade. Durability: Dried carob seeds don't decay quickly; can be stored for years. Size: Perfect for weighing small, valuable items (gems, gold, spices, medicines). Ancient trade: Greek, Roman, Arab, and Persian merchants traveled long distances with balance scales and carob seeds, facilitating gem trade across continents. The belief in uniformity: Ancient texts suggest carob seeds were thought to have nearly identical weights, making them natural standard units. Reality: Modern analysis shows carob seeds actually vary by 10-20% (180-220 mg), so ancient weights weren't as precise as believed. However, the average (~200 mg) happens to closely match the modern carat, suggesting ancient merchants intuitively converged on a practical standard that persists today.

11. Can you haggle over carat weight when buying diamonds?

No, carat weight is objectively measurable and non-negotiable—a 1.00 ct diamond weighs exactly 200 mg, confirmed by precision scales. You cannot "haggle" to get 1.10 ct weight for the price of 1.00 ct. What you CAN negotiate: Price per carat: Total cost for the specific diamond (negotiating discount on asking price). Quality trade-offs: Choosing lower color (G vs. D), lower clarity (VS2 vs. VVS1), or different cut to stay within budget while maximizing carat. Just-below milestones: Purchasing 0.90 ct instead of 1.00 ct saves 15-20% with negligible visual difference—smart buying strategy, not haggling on weight. Total jewelry piece: Negotiating on the setting, band material, or package deal (ring + earrings). Trade-in: Bringing old jewelry to trade toward purchase. Timing: Shopping during sales (Black Friday, Valentine's Day) or at end of month/quarter when sellers have targets. What sellers CANNOT do: Misrepresent carat weight. Gemological certificates from GIA/IGI specify exact weight. If a seller claims a 1.00 ct diamond weighs more/less than 200 mg, it's either fraud or an error. Pro tip: Focus negotiations on price-per-carat reduction or value-adds (free resizing, upgraded setting), not on changing the actual diamond weight.

12. How has the carat system changed with modern technology?

The carat definition (200 mg) remains unchanged since 1907, but technology has revolutionized measurement, cutting, and trade: Precision scales: Modern electronic scales measure to ±0.001 ct (±0.2 mg) vs. early 20th-century balance scales (±0.05-0.10 ct). Ensures consistent global trade. Laser cutting: Computer-controlled lasers cut diamonds with micron-level precision, optimizing yield from rough and maximizing brilliance for a given carat weight. Can achieve ideal proportions consistently. 3D scanning: Machines scan rough diamonds in seconds, calculating optimal cut to maximize carat weight retention while achieving excellent proportions. Before: Cutters relied on experience; now: Algorithms optimize. Synthetic diamonds: Lab-grown diamonds (HPHT, CVD) can be produced to target carat weights, unlike mining where sizes are random. Enables consistent supply of specific sizes. Online retail: Internet sellers (Blue Nile, James Allen) list thousands of diamonds with exact carat weights, photos, 360° videos. Buyers filter by precise carat ranges (1.00-1.25 ct). Blockchain tracking: Some companies use blockchain to track diamonds from mine to retail, recording carat weight at each stage, enhancing transparency. AI grading: Emerging AI systems assist gemologists in assessing cut quality and predicting optimal finished carat weight from rough. Result: The carat unit is stable, but technology makes measurement, cutting, and trading far more precise, efficient, and transparent than ever before.


About Slug (sl)

How is the slug defined?

Answer: 1 slug = 1 lbf / (1 ft/s²) — the mass that accelerates at 1 ft/s² under 1 lbf

The slug is defined through Newton's second law (F = ma):

Rearranging: m = F/a

Definition: If a force of 1 pound-force produces an acceleration of 1 foot per second squared, the mass is 1 slug.

In equation form: 1 slug = 1 lbf / (1 ft/s²)

This makes Newton's law work cleanly: F (lbf) = m (slugs) × a (ft/s²)

Alternative definition (equivalent): 1 slug = 32.174 pounds-mass (lbm)

This number (32.174) comes from standard Earth gravity: g = 32.174 ft/s²

How many pounds-mass are in a slug?

Answer: 1 slug = 32.174 pounds-mass (lbm) exactly

This relationship derives from the gravitational constant:

Standard gravity: g = 32.17405 ft/s² (exactly, by definition)

Weight-mass relationship: Weight (lbf) = Mass (lbm) × g / g_c

where g_c = 32.174 lbm·ft/(lbf·s²) (dimensional conversion constant)

On Earth: A mass of 1 lbm experiences a weight of 1 lbf Therefore: A mass of 32.174 lbm experiences a weight of 32.174 lbf

But also: A mass of 1 slug experiences a weight of 32.174 lbf (by definition)

Conclusion: 1 slug = 32.174 lbm

Example:

  • Person: 160 lbm
  • In slugs: 160 ÷ 32.174 = 4.97 slugs

Why is the slug unit used?

Answer: To simplify F = ma calculations in imperial units by eliminating the need for gravitational conversion constants

The problem without slugs:

Using pounds-mass (lbm) and pounds-force (lbf) in Newton's law requires:

F = ma / g_c

where g_c = 32.174 lbm·ft/(lbf·s²)

This is awkward and error-prone!

The solution with slugs:

Using slugs for mass and lbf for force, Newton's law is simple:

F = ma (no conversion constant!)

Example comparison:

Force: 100 lbf Acceleration: 5 ft/s² Mass = ?

Without slugs (using lbm): m = F × g_c / a = 100 × 32.174 / 5 = 643.48 lbm

With slugs: m = F / a = 100 / 5 = 20 slugs

Much simpler! (Though 20 slugs = 643.48 lbm, same physical mass.)

How do I convert between slugs and kilograms?

Answer: 1 slug = 14.5939 kg (multiply slugs by 14.5939 to get kg)

Slugs to kilograms: kg = slugs × 14.5939

Examples:

  • 1 slug = 14.5939 kg
  • 5 slugs = 5 × 14.5939 = 72.97 kg
  • 10 slugs = 10 × 14.5939 = 145.94 kg

Kilograms to slugs: slugs = kg ÷ 14.5939 (or kg × 0.0685218)

Examples:

  • 10 kg = 10 ÷ 14.5939 = 0.685 slugs
  • 70 kg = 70 ÷ 14.5939 = 4.80 slugs
  • 100 kg = 100 ÷ 14.5939 = 6.85 slugs

Quick approximation:

  • 1 slug ≈ 14.6 kg
  • 1 kg ≈ 0.069 slugs (roughly 1/15th slug)

Why don't people use slugs in everyday life?

Answer: Slugs are awkward for everyday masses and unfamiliar to the general public

Practical reasons:

1. Unfamiliar numbers: Converting common weights to slugs produces strange values

  • "I weigh 5.6 slugs" sounds odd compared to "180 pounds"
  • A gallon of milk is "0.26 slugs" vs. "8.6 pounds"

2. No tradition: Unlike pounds (used for centuries in commerce), slugs were invented for technical calculations only

3. Pounds work fine for daily life: The lbf/lbm ambiguity doesn't matter when you're just measuring weight on a scale

4. Imperial persistence: Americans use pounds because of cultural tradition, not technical correctness

Technical fields use slugs precisely because they eliminate ambiguity in force-mass calculations, but this advantage is irrelevant for grocery shopping or body weight.

Cultural reality: People will continue saying "pounds" for everyday masses, while engineers quietly use slugs behind the scenes.

What's the difference between a slug and a pound?

Answer: Slug measures mass; pound can mean either mass (lbm) or force/weight (lbf)

Slug:

  • Always a unit of mass
  • 1 slug = 32.174 lbm = 14.5939 kg
  • Measures quantity of matter (inertia)
  • Used in F = ma calculations

Pound-mass (lbm):

  • Unit of mass
  • 1 lbm = 1/32.174 slug = 0.453592 kg
  • Quantity of matter

Pound-force (lbf):

  • Unit of force (weight)
  • Force exerted by 1 lbm under standard Earth gravity
  • 1 lbf = force needed to accelerate 1 slug at 1 ft/s²

Relationship on Earth:

  • 1 slug has a mass of 32.174 lbm
  • 1 slug weighs (exerts a force of) 32.174 lbf on Earth
  • 1 lbm weighs 1 lbf on Earth

Key insight: The numerical coincidence (1 lbm weighs 1 lbf on Earth) obscures the fact that mass and force are different physical quantities. Slugs eliminate this confusion.

Is the slug still used in engineering?

Answer: Yes, but rarely—mainly in American aerospace and dynamics courses

Where slugs are still used:

1. Aerospace engineering:

  • NASA and aerospace contractors for some calculations
  • Aircraft dynamics and performance
  • Rocket propulsion when working in imperial units

2. Engineering education:

  • Mechanical engineering dynamics courses
  • Teaching Newton's laws with imperial units
  • Demonstrating unit consistency

3. Defense/ballistics:

  • Military projectile calculations
  • Weapons systems analysis

4. Legacy documentation:

  • Understanding 20th-century engineering reports
  • Maintaining older systems specified in FPS units

Where slugs are NOT used:

  • International engineering (uses kilograms)
  • Daily life (people use pounds)
  • Most modern engineering software (defaults to SI units)
  • Scientific research (exclusively metric)

Current status: Declining but not extinct; maintained for continuity with older American engineering systems

Can I weigh myself in slugs?

Answer: Technically yes, but practically no—scales measure force (weight), not mass

The technical issue:

Bathroom scales measure weight (force in lbf or kg-force), not mass:

  • They use a spring that compresses under gravitational force
  • The readout is calibrated to show "pounds" or "kilograms"

Converting scale reading to slugs:

If your scale says "160 pounds" (meaning 160 lbf weight):

  • Your mass = 160 lbm / 32.174 = 4.97 slugs

Or if metric scale says "70 kg" (meaning 70 kg-force weight):

  • Your mass = 70 kg / 14.5939 = 4.80 slugs

Why people don't do this:

  1. Unfamiliar: "I weigh 5 slugs" sounds strange
  2. Extra math: Requires division by 32.174
  3. No benefit: Pounds work fine for personal weight tracking

Correct statement: "My mass is 4.97 slugs" (not "I weigh 4.97 slugs"—weight is measured in lbf!)

How does the slug relate to Newton's second law?

Answer: The slug is defined to make F = ma work directly with pounds-force and ft/s²

Newton's second law: Force = mass × acceleration

In slug system (FPS units):

  • Force in pound-force (lbf)
  • Mass in slugs (sl)
  • Acceleration in feet per second squared (ft/s²)

Result: F (lbf) = m (slugs) × a (ft/s²)

Example:

  • Mass: 2 slugs
  • Acceleration: 15 ft/s²
  • Force: F = 2 × 15 = 30 lbf

Why this works: The slug is defined such that 1 lbf accelerates 1 slug at 1 ft/s²

Contrast with lbm system (more complicated): F (lbf) = m (lbm) × a (ft/s²) / g_c

where g_c = 32.174 lbm·ft/(lbf·s²)

Same example using lbm:

  • Mass: 2 slugs = 64.348 lbm
  • Acceleration: 15 ft/s²
  • Force: F = 64.348 × 15 / 32.174 = 30 lbf (same result, more complex calculation)

The slug's purpose: Eliminate the g_c conversion factor!

What does "slug" mean and where does the name come from?

Answer: "Slug" evokes sluggishness or inertia—the resistance of mass to acceleration

Etymology:

The term was coined by British physicist Arthur Mason Worthington around 1900.

The metaphor:

  • Sluggish = slow to respond, resistant to movement
  • Inertia = the tendency of massive objects to resist acceleration
  • A more massive object is more "sluggish"

The connection to physics:

Inertial mass is the property of matter that resists acceleration:

  • Larger mass → greater "sluggishness" → harder to accelerate
  • Smaller mass → less "sluggish" → easier to accelerate

Example:

  • Push a shopping cart (low mass) → accelerates easily (not very sluggish)
  • Push a truck (high mass in slugs) → accelerates slowly (very sluggish!)

Word choice reasoning: Worthington wanted a vivid, memorable term that conveyed the physical concept of inertia while fitting the imperial system of units (slug, pound, foot).

Alternative names considered: The unit could have been called "inertia pound" or "force-pound," but "slug" was catchier and emphasized the conceptual link to resistance to motion.

Why is 1 slug equal to 32.174 pounds-mass specifically?

Answer: Because 32.174 ft/s² is the standard acceleration due to Earth's gravity (g)

The relationship derives from weight-force:

Weight (lbf) = mass (lbm) × gravity (ft/s²) / g_c

where g_c = 32.174 lbm·ft/(lbf·s²) is the dimensional conversion constant

On Earth (g = 32.174 ft/s²):

  • 1 lbm weighs: 1 lbm × 32.174 / 32.174 = 1 lbf

Also by definition:

  • 1 slug weighs: 1 slug × 32.174 ft/s² = 32.174 lbf (from F = ma)

Combining these:

  • If 1 lbm weighs 1 lbf, and 1 slug weighs 32.174 lbf...
  • Then 1 slug must equal 32.174 lbm!

The number 32.174 is Earth's standard gravitational acceleration: g = 32.17405 ft/s² ≈ 32.174 ft/s²

Consequence: The slug naturally relates to pounds-mass through Earth's gravity, even though the slug is a mass unit (not dependent on gravity).

On other planets:

  • Mass is still measured in slugs (unchanged)
  • Weight changes (different g value)
  • Example: 1 slug on Moon weighs only 5.32 lbf (not 32.174 lbf)

Will the slug eventually disappear?

Answer: Likely yes—it's declining rapidly as engineering shifts to SI units globally

Factors driving obsolescence:

1. International standardization:

  • Global engineering collaborations require common units (SI/metric)
  • Slug is unknown outside U.S./British contexts

2. Educational shifts:

  • Even American universities teach SI units first
  • Slugs relegated to "alternative units" or historical notes

3. Software migration:

  • Modern CAD/simulation software defaults to metric (kg, N, m)
  • Maintaining slug support is extra development cost

4. Generational change:

  • Engineers trained in FPS/slug units are retiring
  • New graduates work primarily in metric

5. Daily life disconnect:

  • Slug never entered common vocabulary (unlike "pound")
  • No cultural attachment to preserve it

Where it might persist longest:

  • Legacy aerospace systems (maintaining old aircraft/rockets)
  • Specialized defense applications
  • Historical engineering documentation
  • Educational examples showing unit system consistency

Likely outcome: Slug will become a "historical unit" known primarily to:

  • Engineering historians
  • Those maintaining 20th-century equipment
  • Educators explaining evolution of unit systems

Similar to how poundals (another imperial force unit) are now essentially extinct despite once being scientifically "correct."


Conversion Table: Carat to Slug

Carat (ct)Slug (sl)
0.50
10
1.50
20
50
100
250
500.001
1000.001
2500.003
5000.007
1,0000.014

People Also Ask

How do I convert Carat to Slug?

To convert Carat to Slug, enter the value in Carat in the calculator above. The conversion will happen automatically. Use our free online converter for instant and accurate results. You can also visit our weight converter page to convert between other units in this category.

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What is the conversion factor from Carat to Slug?

The conversion factor depends on the specific relationship between Carat and Slug. You can find the exact conversion formula and factor on this page. Our calculator handles all calculations automatically. See the conversion table above for common values.

Can I convert Slug back to Carat?

Yes! You can easily convert Slug back to Carat by using the swap button (⇌) in the calculator above, or by visiting our Slug to Carat converter page. You can also explore other weight conversions on our category page.

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What are common uses for Carat and Slug?

Carat and Slug are both standard units used in weight measurements. They are commonly used in various applications including engineering, construction, cooking, and scientific research. Browse our weight converter for more conversion options.

For more weight conversion questions, visit our FAQ page or explore our conversion guides.

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Verified Against Authority Standards

All conversion formulas have been verified against international standards and authoritative sources to ensure maximum accuracy and reliability.

NIST Mass and Force Standards

National Institute of Standards and TechnologyUS standards for weight and mass measurements

ISO 80000-4

International Organization for StandardizationInternational standard for mechanics quantities

Last verified: December 3, 2025