Convert erg to hartree

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

Calculation Breakdown

Set up the equation

1.0 (e r g) = x (h a r t r e e)

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

(j o u l e)

Left side: 1.0 (e r g) = 10^{- 7} (j o u l e) = 10^{- 7} (J)

Right 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)

Insert known values into the conversion equation to determine

x

1.0 (e r g) = x (h a r t r e e)

Insert known values =>

1.0 \times 10^{- 7} \times (j o u l e) = x \times 4.359744 \times 10^{- 18} \times (j o u l e)

Or

1.0 \cdot 10^{- 7} \cdot (J) = x \cdot 4.359744 \times 10^{- 18} \cdot (J)

Cancel SI units

1.0 \times 10^{- 7} \cdot (J) = x \times 4.359744 \times 10^{- 18} \times (J)

Conversion Equation

10^{- 7} = x \times 4.359744 \times 10^{- 18}

Cancel factors on both sides

Cancel factors

10^{- 7} = x \times 4.359744 \times {10^{- 18}}^{10^{- 11}}

Simplify

1.0 = x \times 4.359744 \times 10^{- 11}

Switch sides

x \times 4.359744 \times 10^{- 11} = 1.0

Isolate

x

Multiply both sides by

(\frac{1.0}{4.359744 \times 10^{- 11}})

x \times 4.359744 \times 10^{- 11} \times \frac{1.0}{4.359744 \times 10^{- 11}} = \times \frac{1.0}{4.359744 \times 10^{- 11}}

Cancel

x \times 4.359744 \times 10^{- 11} \times \frac{1.0}{4.359744 \times 10^{- 11}} = \frac{1.0}{4.359744 \times 10^{- 11}}

Simplify

x = \frac{1.0}{4.359744 \times 10^{- 11}}

Rewrite equation

\frac{1.0}{10^{- 11}} can be rewritten to 10^{11}

Rewrite

x = \frac{10^{11}}{4.359744}

Solve

x

x \approx 22937126584 \approx 2.2937 \times 10^{10}

Conversion Equation

1.0 (e r g) \approx 2.2937 \times 10^{10} (h a r t r e e)

View All Examples