Electron-volt to Calorie (th) (eV to cal (th)) Converter & Formula
eV × 3.8292941 × 10⁻²⁰ = cal (th)
Calculation: 1 eV × 3.8292941 × 10⁻²⁰ = 3.8292941 × 10⁻²⁰ cal (th)
Common Electron-volt to Calorie (th) Calculations
Quick-lookup reference table showing calculated equivalents for standard increments between Electron-volt (eV) and Calorie (th) (cal (th)).
| Reciprocal & Equivalent Value | Scientific Notation |
|---|---|
| 1 cal (th) is equal to 2.611447 × 10¹⁹ eV (Electron-volt) | 2.611 × 10¹⁹ |
| 5 cal (th) is equal to 1.305724 × 10²⁰ eV (Electron-volt) | 1.306 × 10²⁰ |
| 10 cal (th) is equal to 2.611447 × 10²⁰ eV (Electron-volt) | 2.611 × 10²⁰ |
| 50 cal (th) is equal to 1.305724 × 10²¹ eV (Electron-volt) | 1.306 × 10²¹ |
| 100 cal (th) is equal to 2.611447 × 10²¹ eV (Electron-volt) | 2.611 × 10²¹ |
Real-World Context & Everyday Benchmarks
Tap to load into converterTo help contextualize these units in everyday life, science, and engineering, here are verified real-world reference points for Electron-volt (eV) and Calorie (th) (cal (th)):
Electron-volt References:
- Single optical green visible light photon quantum energy (532 nm) 2.33 eV
- Carbon-carbon covalent single chemical bond dissociation energy 3.6 eV
- Silicon semiconductor material electronic bandgap energy at room temperature 1.12 eV
Calorie (th) References:
- Thermochemical calorie standard defined as exactly 4.184 joules 1 cal_th
How to Convert Electron-volt to Calorie (th)
Converting Electron-volt (eV) to Calorie (th) (cal (th)) is a core calculation in Energy and Work, which quantifies the physical capacity to perform mechanical work, generate heat, or emit electromagnetic radiation. Because Calorie (th) is a broader physical scale than Electron-volt, converting from eV to cal (th) condenses the numerical figure. It takes 2.611447 × 10¹⁹ Electron-volt to equal a single Calorie (th) (1 eV = 3.829294 × 10⁻²⁰ cal (th)). To convert any quantity, multiply by 3.829294 × 10⁻²⁰ (or divide by 2.611447 × 10¹⁹).
Mathematical Conversion Derivation via Coherent SI Base Unit
Under the International System of Quantities (ISQ), dimensional conversion between non-SI units is rigorously resolved by bridging through the coherent SI base unit (joule (J)) without arbitrary rounding:
1 eV = 1.602177 × 10⁻¹⁹ joule (J)1 cal (th) = 4.184 joule (J)V(cal (th)) = V(eV) × ( 1.602177 × 10⁻¹⁹ / 4.184 ) = V(eV) × 3.829294 × 10⁻²⁰Value in Calorie (th) = Value in Electron-volt × 3.8292941 × 10⁻²⁰Direct computational formula applied for standard conversion.For an engineering input of 15 eV, applying the conversion factor yields exactly 5.743941 × 10⁻¹⁹ cal (th). At larger operational scale, 480 Electron-volt corresponds to 1.838061 × 10⁻¹⁷ cal (th).
Inverse check: 1 cal (th) = 2.611447 × 10¹⁹ eV.Understanding Electron-volt and Calorie (th)
Electron-volt
eVAn Electron-volt (eV) is a recognized unit for energy and work.
Applications & Practical Context
In practical energy terms, a single optical green visible light photon quantum energy (532 nm) equals 2.33 eV, a carbon-carbon covalent single chemical bond dissociation energy equals 3.6 eV, a silicon semiconductor material electronic bandgap energy at room temperature equals 1.12 eV.
An energy quantity of 1 eV corresponds to 1.602177 × 10⁻¹⁹ J (performing 1.602177 × 10⁻¹⁹ joules of work or heat transfer).
1 eV = 1.602177 × 10⁻¹⁹ JCalorie (th)
cal (th)A Calorie (th) (cal (th)) is a recognized unit for energy and work.
Applications & Practical Context
In practical energy terms, a thermochemical calorie standard defined as exactly 4.184 joules equals 1 cal_th.
An energy quantity of 1 cal (th) corresponds to 4.184 J (performing 4.184 joules of work or heat transfer).
1 cal (th) = 4.184 JDomain Metrology & Engineering Applications
First Law of Thermodynamics (Conservation of Energy: ΔU = Q - W)
Rigorously quantified in laboratory and field settings using isoperibol bomb calorimeters, optical laser pulse joulemeters, and digital revenue-grade electric energy meters.
Applied across electric power utility metering, thermal energy storage design, chemical plant process enthalpies, and ballistic impact engineering under international metrology standard ISO 80000-5:2019, NIST SP 811.
Physical Orders of Magnitude & Laboratory Reference Benchmarks
| Physical Phenomenon / Engineering Reference | Reference Value | Converted to Calorie (th) |
|---|---|---|
| Single optical green visible light photon quantum energy (532 nm) | 2.33 eV | 8.922255 × 10⁻²⁰ cal (th) |
| Carbon-carbon covalent single chemical bond dissociation energy | 3.6 eV | 1.378546 × 10⁻¹⁹ cal (th) |
| Silicon semiconductor material electronic bandgap energy at room temperature | 1.12 eV | 4.288809 × 10⁻²⁰ cal (th) |
Formulas, conversion coefficients, and base definitions on this page strictly adhere to the ISO 80000-5:2019, NIST SP 811 and the BIPM SI Brochure (9th Edition). Governed by First Law of Thermodynamics (Conservation of Energy: ΔU = Q - W) under ISO 80000 dimensional vector [M L² T⁻²].
Continuous Power & Operating Duration Bridge (kWh • Megajoules • BTU • Average Power • Battery Runtime)
Bridge instantaneous work rate [M L² T⁻³] and accumulated energy consumption [M L² T⁻²] over operational shifts and duty cycles via the work-power equation E = P × t.
E = P × t
-
1. Normalize Input to SI Base Unit (W):
P = 1 eV × 1.60217665 × 10⁻¹⁹ = 1.60217665 × 10⁻¹⁹ W -
2. Apply Engineering Parameter (t):
Selected condition: 1-Hour Standard Benchmark Runtime at t = 3600 Seconds / Hours -
3. Execute Governing Physical Law in SI Units:
E = P × t = (1.60217665 × 10⁻¹⁹) × (3600) = 5.767836 × 10⁻¹⁶ J -
4. Convert to Standard Engineering Units:
• kWh: 5.767836 × 10⁻¹⁶ × 2.7778 × 10⁻⁷ = 1.6022 × 10⁻²² kWh (Kilowatt-Hours) • MJ: 5.767836 × 10⁻¹⁶ × 1 × 10⁻⁶ = 5.7678 × 10⁻²² MJ (Megajoules) • BTU: 5.767836 × 10⁻¹⁶ × 0.0009478 = 5.47 × 10⁻¹⁹ BTU (British Thermal Units) • J: 5.767836 × 10⁻¹⁶ × 1 = 5.77 × 10⁻¹⁶ J (Joules) • MWh: 5.767836 × 10⁻¹⁶ × 2.7778 × 10⁻¹⁰ = 1.602177 × 10⁻²⁵ MWh (Megawatt-Hours) • hp·h: 5.767836 × 10⁻¹⁶ × 3.7251 × 10⁻⁷ = 2.1486 × 10⁻²² hp·h (Horsepower-Hours)
| Engineering Substance / Operating Standard | Parameter Value (Seconds / Hours) | Reference State / Condition | Typical Industrial & Engineering Application |
|---|---|---|---|
| 1-Second Pulse (Inrush / Circuit Breaker) | 1 |
1.0 second | Motor inrush peak & capacitor discharge |
| 1-Minute Short Cycle (Microwave / Lift) | 60 |
60 seconds | Elevator transit & commercial appliance duty |
| 1-Hour Standard Benchmark Runtime | 3600 |
3,600 seconds | Standard utility kilowatt-hour energy basis |
| 8-Hour Factory Shift (Industrial Machinery) | 28800 |
8.0 hours | Single industrial production line workday |
| 24-Hour Continuous Day (Data Center / Pump) | 86400 |
24.0 hours | Always-on server racks & municipal water treatment |
| 7-Day Continuous Week (Chemical Refining) | 604800 |
168.0 hours | Continuous manufacturing process plant run |
| 30-Day Monthly Billing Cycle | 2592000 |
720.0 hours | Electric utility meter billing period |
| 365-Day Annual Base Load Operation | 3.1536 × 10⁷ |
8,760 hours | Grid generator annual capacity factor calculation |