Convert atomic unit of energy to rydberg

Learn how to convert 1 atomic unit of energy to rydberg step by step.

Calculation Breakdown

Set up the equation

1.0 (a t o m i c u n i t o f e n e r g y) = x (r y d b e r g)

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

(j o u l e)

Left side: 1.0 (a t o m i c u n i t o f e n e r g y) = 4.359744 \times 10^{- 18} (j o u l e) = 4.359744 \times 10^{- 18} (J)

Right side: 1.0 (r y d b e r g) = 2.179872 \times 10^{- 18} (j o u l e) = 2.179872 \times 10^{- 18} (J)

Insert known values into the conversion equation to determine

x

1.0 (a t o m i c u n i t o f e n e r g y) = x (r y d b e r g)

Insert known values =>

1.0 \times 4.359744 \times 10^{- 18} \times (j o u l e) = x \times 2.179872 \times 10^{- 18} \times (j o u l e)

Or

1.0 \cdot 4.359744 \times 10^{- 18} \cdot (J) = x \cdot 2.179872 \times 10^{- 18} \cdot (J)

Cancel SI units

1.0 \times 4.359744 \times 10^{- 18} \cdot (J) = x \times 2.179872 \times 10^{- 18} \times (J)

Conversion Equation

4.359744 \times 10^{- 18} = x \times 2.179872 \times 10^{- 18}

Cancel factors on both sides

Cancel factors

4.359744 \times 10^{- 18} = x \times 2.179872 \times 10^{- 18}

Simplify

4.359744 = x \times 2.179872

Switch sides

x \times 2.179872 = 4.359744

Isolate

x

Multiply both sides by

(\frac{1.0}{2.179872})

x \times 2.179872 \times \frac{1.0}{2.179872} = 4.359744 \times \frac{1.0}{2.179872}

Cancel

x \times 2.179872 \times \frac{1.0}{2.179872} = 4.359744 \times \frac{1.0}{2.179872}

Simplify

x = \frac{4.359744}{2.179872}

Solve

x

x = 2

Conversion Equation

1.0 (a t o m i c u n i t o f e n e r g y) = 2 (r y d b e r g)

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