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Hartree Energies to Watt-hours Converter (Eh to Wh)

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Live Conversion • ISO 80000-5:2019 Certified
1 Hartree Energy = 1.21104035 × 10⁻²¹ Watt-hour
1 Eh = 1.21104 × 10⁻²¹ Wh • 1 Wh = 8.257363 × 10²⁰ Eh
Hartree Energy to Watt-hour: One Hartree Energy is equal to 1.21104035 × 10⁻²¹ Watt-hours.
Certified Authority Value
0.00000000
Wh
Exact: 1 Wh ≡ 8.2573632 × 10²⁰ Eh
Eh
Eh
Swap to Watt-hour to Hartree Energy
Swap to Watt-hour to Hartree Energy
Wh
Wh 1.21104035 × 10⁻²¹
Quick Values:
Conversion Formula
To convert Hartree Energy to Watt-hour, multiply by 1.21104035 × 10⁻²¹
Eh × 1.21104035 × 10⁻²¹ = Wh

Calculation: 1 Eh × 1.21104035 × 10⁻²¹ = 1.21104035 × 10⁻²¹ Wh

Common Hartree Energy to Watt-hour Calculations

Quick-lookup reference table showing calculated equivalents for standard increments between Hartree Energy (Eh) and Watt-hour (Wh).

Tap any row to calculate
Hartree Energy to Watt-hour: Primary Direct Table (15 Steps)
Hartree Energy to Watt-hour Conversion Reference Table
Conversion & Equivalent Value Scientific Notation
0.001 Eh 1.21104 × 10⁻²⁴ Wh 1.211 × 10⁻²⁴
0.01 Eh 1.21104 × 10⁻²³ Wh 1.211 × 10⁻²³
0.1 Eh 1.21104 × 10⁻²² Wh 1.211 × 10⁻²²
0.5 Eh 6.055202 × 10⁻²² Wh 6.055 × 10⁻²²
1 Eh 1.21104 × 10⁻²¹ Wh 1.211 × 10⁻²¹
2 Eh 2.422081 × 10⁻²¹ Wh 2.422 × 10⁻²¹
5 Eh 6.055202 × 10⁻²¹ Wh 6.055 × 10⁻²¹
10 Eh 1.21104 × 10⁻²⁰ Wh 1.211 × 10⁻²⁰
20 Eh 2.422081 × 10⁻²⁰ Wh 2.422 × 10⁻²⁰
25 Eh 3.027601 × 10⁻²⁰ Wh 3.028 × 10⁻²⁰
50 Eh 6.055202 × 10⁻²⁰ Wh 6.055 × 10⁻²⁰
100 Eh 1.21104 × 10⁻¹⁹ Wh 1.211 × 10⁻¹⁹
250 Eh 3.027601 × 10⁻¹⁹ Wh 3.028 × 10⁻¹⁹
500 Eh 6.055202 × 10⁻¹⁹ Wh 6.055 × 10⁻¹⁹
1000 Eh 1.21104 × 10⁻¹⁸ Wh 1.211 × 10⁻¹⁸
Watt-hour to Hartree Energy: Reciprocal Summary
Watt-hour to Hartree Energy Conversion Reference Table
Reciprocal & Equivalent Value Scientific Notation
1 Wh 8.257363 × 10²⁰ Eh 8.257 × 10²⁰
5 Wh 4.128682 × 10²¹ Eh 4.129 × 10²¹
10 Wh 8.257363 × 10²¹ Eh 8.257 × 10²¹
50 Wh 4.128682 × 10²² Eh 4.129 × 10²²
100 Wh 8.257363 × 10²² Eh 8.257 × 10²²
View Complete 15-Row Watt-hour to Hartree Energy Table

Real-World Context & Everyday Benchmarks

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To help contextualize these units in everyday life, science, and engineering, here are verified real-world reference points for Hartree Energy (Eh) and Watt-hour (Wh):

Hartree Energy References:

  • Atomic unit of energy: twice the binding energy of hydrogen ground-state electron (27.211 eV) 1 Eh

Watt-hour References:

  • Standard modern smartphone lithium-ion battery total energy capacity 15 Wh
  • Rechargeable AA nickel-metal hydride (NiMH) consumer battery capacity 2.5 Wh
  • High-end laptop computer airline-approved battery pack capacity 99 Wh

Tap any benchmark above to automatically calculate its exact equivalent in Watt-hour.

ISQ Dimension: [M L² T⁻²] Coherent SI Unit: joule (J) Chemical Engineering, Solutions & Physical Chemistry

How to Convert Hartree Energy to Watt-hour

Converting Hartree Energy (Eh) to Watt-hour (Wh) is a core calculation in Energy and Work, which quantifies the physical capacity to perform mechanical work, generate heat, or emit electromagnetic radiation. This calculation bridges modern MKSA metric standards with the historical Gaussian centimetre-gram-second (CGS) electrostatic and electromagnetic framework. In CGS systems, electromagnetic units (such as statvolts, abvolts, dynes, ergs, and gauss) are formulated directly from mechanical dimensions, with electrostatic-to-electromagnetic relations tied to the speed of light in vacuum (c ≈ 2.99792458 × 1010 cm/s). Exactly 1 Hartree Energy translates to 1.21104 × 10⁻²¹ Watt-hour (1 Wh = 8.257363 × 10²⁰ Eh).

Direct Factor1 Eh = 1.21104 × 10⁻²¹ Wh
Inverse Ratio1 Wh = 8.257363 × 10²⁰ Eh
Conversion ScaleSI to CGS Gaussian / ESU / EMU Bridge
First-Principles SI Derivation ProofNIST SP 811 / ISO 80000 Compliance

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:

Vtarget=Vsource×(ksource→SIktarget→SI)V_{\text{target}} = V_{\text{source}} \times \left( \frac{k_{\text{source} \to \text{SI}}}{k_{\text{target} \to \text{SI}}} \right)
Universal Dimensional Conversion Law (ISO 80000 / NIST SP 811)
1. Source SI Bridge (ksource):1 Eh = 4.359745 × 10⁻¹⁸ joule (J)
2. Target SI Bridge (ktarget):1 Wh = 3600 joule (J)
Step-by-step substitution for Hartree Energy → Watt-hour:V(Wh) = V(Eh) × ( 4.359745 × 10⁻¹⁸ / 3600 ) = V(Eh) × 1.21104 × 10⁻²¹
Mathematical FormulaValue in Watt-hour = Value in Hartree Energy × 1.21104035 × 10⁻²¹Direct computational formula applied for standard conversion.
Worked Example

For an engineering input of 8 Eh, applying the conversion factor yields exactly 9.688323 × 10⁻²¹ Wh. At larger operational scale, 1000 Hartree Energy corresponds to 1.21104 × 10⁻¹⁸ Wh.

Inverse check: 1 Wh = 8.257363 × 10²⁰ Eh.

Understanding Hartree Energy and Watt-hour

Hartree Energy

Eh
CGS System

A Hartree Energy (Eh) is a unit of energy and work in the centimeter-gram-second (CGS) system.

Applications & Practical Context

In practical energy terms, a atomic unit of energy: twice the binding energy of hydrogen ground-state electron (27.211 eV) equals 1 Eh.

Physical Setup

An energy quantity of 1 Eh corresponds to 4.359745 × 10⁻¹⁸ J (performing 4.359745 × 10⁻¹⁸ joules of work or heat transfer).

Conversion to SI Unit: joule (J)
1 Eh = 4.359745 × 10⁻¹⁸ J

Watt-hour

Wh
Standard Unit

A Watt-hour (Wh) is a recognized unit for energy and work.

Applications & Practical Context

In practical energy terms, a standard modern smartphone lithium-ion battery total energy capacity equals 15 Wh, a rechargeable AA nickel-metal hydride (NiMH) consumer battery capacity equals 2.5 Wh, a high-end laptop computer airline-approved battery pack capacity equals 99 Wh.

Physical Setup

An energy quantity of 1 Wh corresponds to 3600 J (performing 3600 joules of work or heat transfer).

Conversion to SI Unit: joule (J)
1 Wh = 3600 J

Domain Metrology & Engineering Applications

Governing Law & Equation

First Law of Thermodynamics (Conservation of Energy: ΔU = Q - W)

Measurement Instrumentation

Rigorously quantified in laboratory and field settings using isoperibol bomb calorimeters, optical laser pulse joulemeters, and digital revenue-grade electric energy meters.

Primary Industry Sectors

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 ReferenceReference ValueConverted to Watt-hour
Atomic unit of energy: twice the binding energy of hydrogen ground-state electron (27.211 eV)1 Eh1.21104 × 10⁻²¹ Wh
Institutional Metrology & Standard Authority:

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].

Multi-Variable Engineering Bridge Thermal Enthalpy & Continuous Power

Energy to Continuous Operating Power Bridge (Watts • Kilowatts • Megawatts • Horsepower)

Calculate required average generating or consuming power P = E / t over specified timespans, bridging energy [M L² T⁻²] with continuous power [M L² T⁻³].

P = E / t
Vector: [J] ÷ [s] → [W]
Live Calculated Bridge Equivalent:
1 Eh at 1 Hour Continuous Run (3,600 s) = 1.211 × 10⁻²¹ W
Equals 1.211 × 10⁻²⁴ kW • 1.21104 × 10⁻²⁷ MW • 1.624 × 10⁻²⁴ hp
SI Power
1.211 × 10⁻²¹
W
Watts
Grid / Utility
1.211 × 10⁻²⁴
kW
Kilowatts
Power Plant
1.21104 × 10⁻²⁷
MW
Megawatts
Mechanical Rating
1.624 × 10⁻²⁴
hp
Horsepower (Mechanical)
Metric Horsepower
1.6466 × 10⁻²⁴
PS
Metric Horsepower (PS)
HVAC Thermal Rating
4.13 × 10⁻²¹
BTU/h
BTU per Hour
  1. 1. Normalize Input to SI Base Unit (J):
    E = 1 Eh × 4.35974525 × 10⁻¹⁸ = 4.35974525 × 10⁻¹⁸ J
  2. 2. Apply Engineering Parameter (t):
    Selected condition: 1 Hour Continuous Run (3,600 s) at t = 3600 s
  3. 3. Execute Governing Physical Law in SI Units:
    P = E / t = (4.35974525 × 10⁻¹⁸ J) ÷ (3600 s) = 1.21104 × 10⁻²¹ W
  4. 4. Convert to Standard Engineering Units:
    • W: 1.21104 × 10⁻²¹ × 1 = 1.211 × 10⁻²¹ W (Watts) • kW: 1.21104 × 10⁻²¹ × 0.001 = 1.211 × 10⁻²⁴ kW (Kilowatts) • MW: 1.21104 × 10⁻²¹ × 1 × 10⁻⁶ = 1.21104 × 10⁻²⁷ MW (Megawatts) • hp: 1.21104 × 10⁻²¹ × 0.001341 = 1.624 × 10⁻²⁴ hp (Horsepower (Mechanical)) • PS: 1.21104 × 10⁻²¹ × 0.00136 = 1.6466 × 10⁻²⁴ PS (Metric Horsepower (PS)) • BTU/h: 1.21104 × 10⁻²¹ × 3.4121 = 4.13 × 10⁻²¹ BTU/h (BTU per Hour)
Explore Full Power Converter →
Engineering Substance / Operating Standard Parameter Value (s) Reference State / Condition Typical Industrial & Engineering Application
1 Second Instant Discharge 1 1.0 s Peak pulse discharge rating
1 Minute Fast Delivery (60 s) 60 60 s EV fast acceleration or battery boost
1 Hour Continuous Run (3,600 s) 3600 3,600 s (1 hour) Standard 1-hour energy delivery
8 Hours (28,800 s) 28800 28,800 s (8 hours) Single shift continuous draw
24 Hours (86,400 s) 86400 86,400 s (24 hours) Full day steady-state consumption
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Frequently Asked Questions

There are exactly 1.21104035 × 10⁻²¹ watt-hours (Wh) in 1 hartree energy (Eh). To calculate larger amounts manually, simply multiply your total number of hartree energies by the conversion multiplier of 1.21104035 × 10⁻²¹.

The mathematical formula to convert hartree energies to watt-hours is: [value] * 1.21104035 × 10⁻²¹ = watt-hours. Rather than doing the math manually, you can use our high-precision online calculator to process this exact equation instantly without rounding errors.

To perform the reverse calculation from watt-hours back to hartree energies, you must divide your starting value by 1.21104035 × 10⁻²¹. Our bidirectional tool automatically computes this inverse equation the moment you type into the watt-hour input field.

1 Watt-hour is larger than 1 Hartree Energy. Specifically, 1 Hartree Energy equals 1.21104035 × 10⁻²¹ watt-hours, meaning 1 Watt-hour is 8.2574 × 10²⁰ times larger than 1 Hartree Energy (a difference of 20.92 orders of magnitude). Expressing measurements in hartree energies requires a larger numerical value to represent the equivalent physical magnitude.

A typical atomic unit of energy: twice the binding energy of hydrogen ground-state electron (27.211 eV) measures 1 Eh, which corresponds to 1.211 × 10⁻²¹ Wh (Watt-hour).

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