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Joules to Hartree Energies Converter (J to Eh)

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Live Conversion • ISO 80000-5:2019 Certified
1 Joule = 2.293712 × 10¹⁷ Hartree Energy
1 J = 2.293712 × 10¹⁷ Eh • 1 Eh = 4.359745 × 10⁻¹⁸ J
Joule to Hartree Energy: One Joule is equal to 2.293712 × 10¹⁷ Hartree Energies.
Certified Authority Value
229371200000000000.00000000
Eh
Exact: 1 Eh ≡ 4.3597452514 × 10⁻¹⁸ J
J
J
Swap to Hartree Energy to Joule
Swap to Hartree Energy to Joule
Eh
Eh 2.293712 × 10¹⁷
Quick Values:
Conversion Formula
To convert Joule to Hartree Energy, multiply by 2.293712 × 10¹⁷
J × 2.293712 × 10¹⁷ = Eh

Calculation: 1 J × 2.293712 × 10¹⁷ = 2.293712 × 10¹⁷ Eh

Common Joule to Hartree Energy Calculations

Quick-lookup reference table showing calculated equivalents for standard increments between Joule (J) and Hartree Energy (Eh).

Tap any row to calculate
Joule to Hartree Energy: Primary Direct Table (15 Steps)
Joule to Hartree Energy Conversion Reference Table
Conversion & Equivalent Value Scientific Notation
0.001 J 2.293712 × 10¹⁴ Eh 2.294 × 10¹⁴
0.01 J 2.293712 × 10¹⁵ Eh 2.294 × 10¹⁵
0.1 J 2.293712 × 10¹⁶ Eh 2.294 × 10¹⁶
0.5 J 1.146856 × 10¹⁷ Eh 1.147 × 10¹⁷
1 J 2.293712 × 10¹⁷ Eh 2.294 × 10¹⁷
2 J 4.587424 × 10¹⁷ Eh 4.587 × 10¹⁷
5 J 1.146856 × 10¹⁸ Eh 1.147 × 10¹⁸
10 J 2.293712 × 10¹⁸ Eh 2.294 × 10¹⁸
20 J 4.587424 × 10¹⁸ Eh 4.587 × 10¹⁸
25 J 5.73428 × 10¹⁸ Eh 5.734 × 10¹⁸
50 J 1.146856 × 10¹⁹ Eh 1.147 × 10¹⁹
100 J 2.293712 × 10¹⁹ Eh 2.294 × 10¹⁹
250 J 5.73428 × 10¹⁹ Eh 5.734 × 10¹⁹
500 J 1.146856 × 10²⁰ Eh 1.147 × 10²⁰
1000 J 2.293712 × 10²⁰ Eh 2.294 × 10²⁰
Hartree Energy to Joule: Reciprocal Summary
Hartree Energy to Joule Conversion Reference Table
Reciprocal & Equivalent Value Scientific Notation
1 Eh 4.359745 × 10⁻¹⁸ J 4.36 × 10⁻¹⁸
5 Eh 2.179873 × 10⁻¹⁷ J 2.18 × 10⁻¹⁷
10 Eh 4.359745 × 10⁻¹⁷ J 4.36 × 10⁻¹⁷
50 Eh 2.179873 × 10⁻¹⁶ J 2.18 × 10⁻¹⁶
100 Eh 4.359745 × 10⁻¹⁶ J 4.36 × 10⁻¹⁶
View Complete 15-Row Hartree Energy to Joule 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 Joule (J) and Hartree Energy (Eh):

Joule References:

  • Mechanical work required to lift a medium culinary apple vertically by one meter 1 J
  • Kinetic energy of a standard tennis ball dropped from waist height 1 J
  • Energy consumed by a 1-watt LED pilot lamp operating for one second 1 J

Hartree Energy References:

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

Tap any benchmark above to automatically calculate its exact equivalent in Hartree Energy.

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

How to Convert Joule to Hartree Energy

Converting Joule (J) to Hartree Energy (Eh) 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 Joule translates to 2.293712 × 10¹⁷ Hartree Energy (1 Eh = 4.359745 × 10⁻¹⁸ J).

Direct Factor1 J = 2.293712 × 10¹⁷ Eh
Inverse Ratio1 Eh = 4.359745 × 10⁻¹⁸ J
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 J = 1 joule (J)
2. Target SI Bridge (ktarget):1 Eh = 4.359745 × 10⁻¹⁸ joule (J)
Step-by-step substitution for Joule → Hartree Energy:V(Eh) = V(J) × ( 1 / 4.359745 × 10⁻¹⁸ ) = V(J) × 2.293712 × 10¹⁷
Mathematical FormulaValue in Hartree Energy = Value in Joule × 2.293712 × 10¹⁷Direct computational formula applied for standard conversion.
Worked Example

To convert 12 Joule (J) to Hartree Energy (Eh): multiply 12 by 2.293712 × 10¹⁷ to get 2.752454 × 10¹⁸ Eh. At an industrial engineering scale, 100 J converts to 2.293712 × 10¹⁹ Eh.

Inverse check: 1 Eh = 4.359745 × 10⁻¹⁸ J.

Understanding Joule and Hartree Energy

Joule

J
Coherent SI Unit

The joule (J) is the coherent SI-derived unit of energy, work, and heat, named after James Prescott Joule.

Applications & Practical Context

In practical energy terms, a mechanical work required to lift a medium culinary apple vertically by one meter equals 1 J, a kinetic energy of a standard tennis ball dropped from waist height equals 1 J, a energy consumed by a 1-watt LED pilot lamp operating for one second equals 1 J.

Physical Setup

An energy of 1 joule is the work done by a force of 1 newton acting through a displacement of 1 meter, or dissipating 1 watt of electrical power over 1 second.

Conversion to SI Unit: joule (J)
1 J = 1 N·m = 1 W·s

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

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 Hartree Energy
Mechanical work required to lift a medium culinary apple vertically by one meter1 J2.293712 × 10¹⁷ Eh
Kinetic energy of a standard tennis ball dropped from waist height1 J2.293712 × 10¹⁷ Eh
Energy consumed by a 1-watt LED pilot lamp operating for one second1 J2.293712 × 10¹⁷ Eh
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 J at 1 Hour Continuous Run (3,600 s) = 0.0002778 W
Equals 2.7778 × 10⁻⁷ kW • 2.777778 × 10⁻¹⁰ MW • 3.7251 × 10⁻⁷ hp
SI Power
0.0002778
W
Watts
Grid / Utility
2.7778 × 10⁻⁷
kW
Kilowatts
Power Plant
2.777778 × 10⁻¹⁰
MW
Megawatts
Mechanical Rating
3.7251 × 10⁻⁷
hp
Horsepower (Mechanical)
Metric Horsepower
3.7767 × 10⁻⁷
PS
Metric Horsepower (PS)
HVAC Thermal Rating
0.00095
BTU/h
BTU per Hour
  1. 1. Normalize Input to SI Base Unit (J):
    E = 1 J × 1 = 1 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 = (1 J) ÷ (3600 s) = 0.00027778 W
  4. 4. Convert to Standard Engineering Units:
    • W: 0.00027778 × 1 = 0.0002778 W (Watts) • kW: 0.00027778 × 0.001 = 2.7778 × 10⁻⁷ kW (Kilowatts) • MW: 0.00027778 × 1 × 10⁻⁶ = 2.777778 × 10⁻¹⁰ MW (Megawatts) • hp: 0.00027778 × 0.001341 = 3.7251 × 10⁻⁷ hp (Horsepower (Mechanical)) • PS: 0.00027778 × 0.00136 = 3.7767 × 10⁻⁷ PS (Metric Horsepower (PS)) • BTU/h: 0.00027778 × 3.4121 = 0.00095 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 2.293712 × 10¹⁷ hartree energies (Eh) in 1 joule (J). To calculate larger amounts manually, simply multiply your total number of joules by the conversion multiplier of 2.293712 × 10¹⁷.

The mathematical formula to convert joules to hartree energies is: [value] * 2.293712 × 10¹⁷ = hartree energies. 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 hartree energies back to joules, you must divide your starting value by 2.293712 × 10¹⁷. Our bidirectional tool automatically computes this inverse equation the moment you type into the hartree energy input field.

1 Joule is larger than 1 Hartree Energy. Specifically, 1 Joule equals exactly 2.293712 × 10¹⁷ hartree energies, making it 2.2937 × 10¹⁷ times larger (a difference of 17.36 orders of magnitude). Therefore, quantities expressed in hartree energies require a larger numerical value to represent the same physical amount.

A typical mechanical work required to lift a medium culinary apple vertically by one meter measures 1 J, which corresponds to 2.2937 × 10¹⁷ Hartree Energy (Hartree Energy).

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