Energy 1 of Vibrational Level Calculator

✖The Energy Level 2 is the energy of the matter at a higher state.ⓘ Energy Level 2 [E₂]			+10% -10%
✖The Transition Frequency associated with the transition (1 to 2 or 2 to 1) between two different vibrational levels.ⓘ Transition Frequency [f_1,2]			+10% -10%

✖The Energy Level 1 is the energy of matter at a lower state.ⓘ Energy 1 of Vibrational Level [E₁]

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Formula

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Energy 1 of Vibrational Level

Formula

E 1 = E 2 - (f 1,2 \cdot [hP])

Example

55 J = 55 J - (90 Hz \cdot [hP])

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Energy 1 of Vibrational Level Solution

STEP 0: Pre-Calculation Summary

Formula Used

Energy Level 1 = Energy Level 2-(Transition Frequency*[hP])
E₁ = E₂-(f_1,2*[hP])
This formula uses 1 Constants, 3 Variables

Constants Used

[hP] - Planck constant Value Taken As 6.626070040E-34

Variables Used

Energy Level 1 - (Measured in Joule) - The Energy Level 1 is the energy of matter at a lower state.
Energy Level 2 - (Measured in Joule) - The Energy Level 2 is the energy of the matter at a higher state.
Transition Frequency - (Measured in Hertz) - The Transition Frequency associated with the transition (1 to 2 or 2 to 1) between two different vibrational levels.

STEP 1: Convert Input(s) to Base Unit

Energy Level 2: 55 Joule --> 55 Joule No Conversion Required
Transition Frequency: 90 Hertz --> 90 Hertz No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

E₁ = E₂-(f_1,2*[hP]) --> 55-(90*[hP])

Evaluating ... ...

E₁ = 55

STEP 3: Convert Result to Output's Unit

55 Joule --> No Conversion Required

FINAL ANSWER

55 Joule <-- Energy Level 1

(Calculation completed in 00.004 seconds)

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Credits

Created by Prashant Singh

K J Somaiya College of science (K J Somaiya), Mumbai

Prashant Singh has created this Calculator and 700+ more calculators!

Verified by Akshada Kulkarni

National Institute of Information Technology (NIIT), Neemrana

Akshada Kulkarni has verified this Calculator and 900+ more calculators!

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Energy 1 of Vibrational Level Formula

Energy Level 1 = Energy Level 2-(Transition Frequency*[hP])
E₁ = E₂-(f_1,2*[hP])

What is vibrational energy levels?

Each molecule has a specific set of vibrational bands which are defined by their frequency shape and intensities, by probing the transition between the ground state and excited vibrational state we can observe the transition as bands in the vibrational spectrum.

How to Calculate Energy 1 of Vibrational Level?

Energy 1 of Vibrational Level calculator uses Energy Level 1 = Energy Level 2-(Transition Frequency*[hP]) to calculate the Energy Level 1, The Energy 1 of vibrational level formula is defined as subtraction of transition photon energy from the energy of matter at a higher level. The matter at the ground state absorbs radiation and reaches the excited state. Energy Level 1 is denoted by E₁ symbol.

How to calculate Energy 1 of Vibrational Level using this online calculator? To use this online calculator for Energy 1 of Vibrational Level, enter Energy Level 2 (E₂) & Transition Frequency (f_1,2) and hit the calculate button. Here is how the Energy 1 of Vibrational Level calculation can be explained with given input values -> 55 = 55-(90*[hP]).

FAQ

What is Energy 1 of Vibrational Level?

The Energy 1 of vibrational level formula is defined as subtraction of transition photon energy from the energy of matter at a higher level. The matter at the ground state absorbs radiation and reaches the excited state and is represented as E₁ = E₂-(f_1,2*[hP]) or Energy Level 1 = Energy Level 2-(Transition Frequency*[hP]). The Energy Level 2 is the energy of the matter at a higher state & The Transition Frequency associated with the transition (1 to 2 or 2 to 1) between two different vibrational levels.

How to calculate Energy 1 of Vibrational Level?

The Energy 1 of vibrational level formula is defined as subtraction of transition photon energy from the energy of matter at a higher level. The matter at the ground state absorbs radiation and reaches the excited state is calculated using Energy Level 1 = Energy Level 2-(Transition Frequency*[hP]). To calculate Energy 1 of Vibrational Level, you need Energy Level 2 (E₂) & Transition Frequency (f_1,2). With our tool, you need to enter the respective value for Energy Level 2 & Transition Frequency and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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