Convert hartree to electronvolt

Learn how to convert 1 hartree to electronvolt step by step.

Calculation Breakdown

Set up the equation

1.0 (h a r t r e e) = x (e l e c t r o n v o l t)

Define the base values of the selected units in relation to the SI unit

(j o u l e)

Left side: 1.0 (h a r t r e e) = 4.359744 \times 10^{- 18} (j o u l e) = 4.359744 \times 10^{- 18} (J)

Right side: 1.0 (e l e c t r o n v o l t) = 1.602176462 \times 10^{- 19} (j o u l e) = 1.602176462 \times 10^{- 19} (J)

Insert known values into the conversion equation to determine

x

1.0 (h a r t r e e) = x (e l e c t r o n v o l t)

Insert known values =>

1.0 \times 4.359744 \times 10^{- 18} \times (j o u l e) = x \times 1.602176462 \times 10^{- 19} \times (j o u l e)

Or

1.0 \cdot 4.359744 \times 10^{- 18} \cdot (J) = x \cdot 1.602176462 \times 10^{- 19} \cdot (J)

Cancel SI units

1.0 \times 4.359744 \times 10^{- 18} \cdot (J) = x \times 1.602176462 \times 10^{- 19} \times (J)

Conversion Equation

4.359744 \times 10^{- 18} = x \times 1.602176462 \times 10^{- 19}

Cancel factors on both sides

Cancel factors

4.359744 \times 10^{- 18} = x \times 1.602176462 \times {10^{- 19}}^{10^{- 1}}

Simplify

4.359744 = x \times 1.602176462 \times 10^{- 1}

Switch sides

x \times 1.602176462 \times 10^{- 1} = 4.359744

Isolate

x

Multiply both sides by

(\frac{1.0}{1.602176462 \times 10^{- 1}})

x \times 1.602176462 \times 10^{- 1} \times \frac{1.0}{1.602176462 \times 10^{- 1}} = 4.359744 \times \frac{1.0}{1.602176462 \times 10^{- 1}}

Cancel

x \times 1.602176462 \times 10^{- 1} \times \frac{1.0}{1.602176462 \times 10^{- 1}} = 4.359744 \times \frac{1.0}{1.602176462 \times 10^{- 1}}

Simplify

x = \frac{4.359744}{1.602176462 \times 10^{- 1}}

Rewrite equation

\frac{1.0}{10^{- 1}} can be rewritten to 10

Rewrite

x = \frac{10.0 \times 4.359744}{1.602176462}

Solve

x

x \approx 27.21138466 \approx 27.2114

Conversion Equation

1.0 (h a r t r e e) \approx 27.2114 (e l e c t r o n v o l t)

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