Formulas Flashcards

1
Q

How do you find v (frequency)?

A

v= c/ wavelength

Remember speed frequents wave

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2
Q

How do you find E (energy) of one photon?

A

E=hv

Remember E hates V

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3
Q

How do you find E (energy) of one mole of photons?

A

E= Na x hv

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4
Q

How do you find v~ (wavenumber)?

A

V~= 1/wavelength x 100

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5
Q

How do you find the energy of the energy gap?

A

^E= hv

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6
Q

How do you find transmission and percentage transmission?

A

T= I/Io

x 100%

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7
Q

How do you find absorption?

A

A= log(Io/I) = Ecl

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8
Q

How do you find the moment of inertia?

A

I= RM x r^2

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9
Q

How do you find reduced mass?

A

RM= mA x mB/ mA+ mB

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10
Q

How do you find rotational energy E?

A

E= 1/2 I (angular velocity)^2

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11
Q

How do you find the energy of a rotational energy level J?

  • energy of a particular level
A

EJ= B J(J+1)

Where J=0,1,2,3…

B is the rotational constant

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12
Q

How do you calculate the rotational constant B

  • depends on the molecule
A

B= h/ 8pi^2 x I x c

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13
Q

How do you find the energy gap between one rotational energy level and the next one?

A

^EJ->J+1= 2B(J+1)

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14
Q

How are the formulas form the energy of the J levels and the energy gap between the levels altered for a non rigid diatomic?

A

The more it rotates the more it stretches

EJ= BJ(J+1) -DJ^2(J+1)^2
^EJ= 2B(J+1) -4D (J+1)^3

D is the centrifugal distortion constant

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15
Q

How do you calculate vibrational frequency?

Vvib- vibrational frequency

A

Vvib= 1/2pi {k/RM}

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16
Q

How do you calculate vibrational wavenumber?

V~vib= vibrational wavenumber

A

V~vib= Vvib/c

= 1/2piC x {k/RM}

17
Q

How do you calculate the energy of a vibrational energy level?

A

Ev= (v+1/2) v~vib

18
Q

How do you calculate the energy gap between one vibrational energy level and the next?

A

^Ev->v+1= V~vib

19
Q

What is Etotal?

A

Etotal= Ev + EJ

20
Q

How do you calculate EvJ?

A

EvJ= v~obs= v~vib +/- 2Bm

21
Q

How do you work out the number of vibrational modes for a linear and non linear molecule?

A

Non linear
3N-6

Linear
3N-5

22
Q

How do you calculate Aobs?

A

Aobs= Aa + Ab…

23
Q

What is the v~stokes equation?

A

Loses energy

V~stokes= v~ex -^v~

The incident photon experiences a change in wavenumber

24
Q

What is the v~ antistokes equation?

A

Gains energy

V~antistokes= v~ex +^v~

The incident photon experiences a change in wavenumber