Page |1
Physical Chemistry - ACS Quantum
Mechanics Final Questions and Correct
Answers/ Latest Update / Already Graded
who assumed the energy of all oscillators in a blackbody was
quantized? what was it said to be quantized by?
Ans: Planck; e=nhv where n=quantum number, h=Planks
constant, and v=frequency of the oscillator
what did Einstein propose through use of Plank's quantization of
energy theory?
Ans: that radiation itself existed as packets of energy (called
photons) with e=hv
what is the empirical equation explaining the observed spectrum of
hydrogen?
Ans: v=Rh((1/n1^2)-(1/n2^2)) where Rh is the Rydberg
constant, and n1 and n2 are quantum numbers
the angular momentum of the hydrogen atom is quantized by units of
what?
Ans: h/2Pi or hbar
All rights reserved © 2025/ 2026 |
, Page |2
what is the relation of momentum to wavelength? (de Broglie relation)
Ans: wavelength=h/p or h/m*v
where v is velocity, m is mass, and h is planck's constant
what is the Schrodinger equation?
Ans: a partial differential equation describing the wave
properties of matter. solutions are called wave functions.
equation for the theory that two electrons cannot occupy the same
spatial orbital unless they are of opposite spin? (Pauli exclusion
principle)
Ans: Ψ(1,2)= -Ψ(2,1)
what is the equation for the Heisengburg uncertainty principle?
Ans: ΔxΔp is greater than or equal to 0.5hbar
what does the correspondence principle state?
Ans: classical and quantum mechanical results merge in the
limit of high quantum numbers
All rights reserved © 2025/ 2026 |
, Page |3
What is the time independent schrodinger equation?
Ans: HΨ=EΨ where H is the hamiltonian operator and E is the
energy
when is a function an eigen function?
Ans: example: A is an eigen function if applying A to the
function f is the same as the multiplication of f by a constant, a.
Or Af=af
the wavefunctions and energies of systems are _____ of the
Hamiltonian operator
Ans: eigen functions. In other words, applying the Hamiltonian
to the wave function is the same as multiplying the
wavefunction by the constant, E or energy.
what is an operator?
Ans: A rule for changing one function into another function
what makes an operator linear?
Ans: it (represented by A) satisfies the equation:
A(cf+dg)=Acf+Adg where f and g are functions and c and d are
constants
All rights reserved © 2025/ 2026 |
Physical Chemistry - ACS Quantum
Mechanics Final Questions and Correct
Answers/ Latest Update / Already Graded
who assumed the energy of all oscillators in a blackbody was
quantized? what was it said to be quantized by?
Ans: Planck; e=nhv where n=quantum number, h=Planks
constant, and v=frequency of the oscillator
what did Einstein propose through use of Plank's quantization of
energy theory?
Ans: that radiation itself existed as packets of energy (called
photons) with e=hv
what is the empirical equation explaining the observed spectrum of
hydrogen?
Ans: v=Rh((1/n1^2)-(1/n2^2)) where Rh is the Rydberg
constant, and n1 and n2 are quantum numbers
the angular momentum of the hydrogen atom is quantized by units of
what?
Ans: h/2Pi or hbar
All rights reserved © 2025/ 2026 |
, Page |2
what is the relation of momentum to wavelength? (de Broglie relation)
Ans: wavelength=h/p or h/m*v
where v is velocity, m is mass, and h is planck's constant
what is the Schrodinger equation?
Ans: a partial differential equation describing the wave
properties of matter. solutions are called wave functions.
equation for the theory that two electrons cannot occupy the same
spatial orbital unless they are of opposite spin? (Pauli exclusion
principle)
Ans: Ψ(1,2)= -Ψ(2,1)
what is the equation for the Heisengburg uncertainty principle?
Ans: ΔxΔp is greater than or equal to 0.5hbar
what does the correspondence principle state?
Ans: classical and quantum mechanical results merge in the
limit of high quantum numbers
All rights reserved © 2025/ 2026 |
, Page |3
What is the time independent schrodinger equation?
Ans: HΨ=EΨ where H is the hamiltonian operator and E is the
energy
when is a function an eigen function?
Ans: example: A is an eigen function if applying A to the
function f is the same as the multiplication of f by a constant, a.
Or Af=af
the wavefunctions and energies of systems are _____ of the
Hamiltonian operator
Ans: eigen functions. In other words, applying the Hamiltonian
to the wave function is the same as multiplying the
wavefunction by the constant, E or energy.
what is an operator?
Ans: A rule for changing one function into another function
what makes an operator linear?
Ans: it (represented by A) satisfies the equation:
A(cf+dg)=Acf+Adg where f and g are functions and c and d are
constants
All rights reserved © 2025/ 2026 |
