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De Broglie Relation for wavelength
\

what is p in quantum mech
p = momentum

what is \l
wavelength

WHat is plancks constant
Ties wavelength to momentum

What is relation to speed of light in quantumk
c =

How do we define kinetic enery of a particle in quantum

What is root purpose of schreodinger
 Ties the waveform, momentum and energy of a particle together so that we can relate all three to each other.
 Given the potnetial energy, the deffinite energy; we can solve ofor wavefunction.

What is the form of hte time independent shreodinter euqation
It is used most commonly when we wish to relatede potential energy, actual energy and

What is the condition for orthognality of two vectors
\

What is the condition for normalizing a vector
To normallize, if not equal to 1, sqrt(1/ans) = N

Hamiltonian operator interms of time and planck
\

Linier Momentum Operatort px

Hamiltonian operator in 3d momentum
 Energy in terms of momentum

Postulate 1 of quantum: the state vector rule
 The state of a quantom at a tiven moment can be described using a normalized state vector having as many complex components as there are possible values for objects observable qualities.
 \ ^{2}Is the chance of finding a particle in the box formed by xyz +dxdydz at time t

Postulate 2 :
For every observable propoerty there is a linier hermitian operator that connects wave to classical behavior

Postulate 3: How to find psi
 i
 Solving time dependent shredigner will allow wavefunction to be found

LInier operator condition
 an object is a linier operator if
 \

Commutation
If the order of operations is irrelevent, then two operators commute, and if two operators commute on an eigenfunction, then then any eigenfunction of one is also an eigenfunction of the other.


Calculating binding energy of molecular solids
 Molecular solids are london and van der waal based
 function of

Calculating binding energy of hydrogen bond solids
 These are items witha strong difference in electronegativity between components. They have part positive part negative
 Crystal bond is function of Leonard Jones

 Modelled with partial dipole charges

Metallic crystal bonding data
Calculated with density functional theory 15% accurate for first 50 elements
Sea of electrons hold together
Energy = enthalpy of sublimation

Covalent Crystals
 Share electrons
 Energy calculated as function of density functional theory
 Roughly equal to sublimation enthalpy

Ionic molecule
 Intra molecular bond of ionic crystals
Function of bond charges and radius

What type of bond in SiO_{2 }Quartz
Covalent

What kind of solid is nitrogen
Covalent

Latice enthalpy of a ionic crystal
heat sublimation (solid) + Heat vap (gas) +.5 Dissociation (gas) + ionization energy (solid)electronaffinity (gas)Heat of formation (crystal)

Langmuir hinschelwood surface
 Requires a and b to bond next to each other on surface
 A and b then react
 Peak and then decline

How do we account for effect of temperature on adsorption?
Van't hoff equation...

Finding hads
 PLot : ln (P) vs 1/T
 Slope = incH/R

What happens to adsorption when temp rise
Adsorption decline per le chatleir principle

Langmuir Rideal
 A and b bond competitively to surface
 A needs to be in gas Phase and B bonded to surface for reaction.

Speed of Light vs wave qualities
c= wavelength*frequency

Energy in quantum mech relation to planc

Blackbody failure
 Classic physics (rahleigh jean)assumed would increase as v/t increase
 QUantum showed peak followed by decline as function of probabillity of different energy levels (Planck, wein)

Photoelectric failure
 Classic physics predict that energy of ejected electrons depend on light
 In quantum, shown that in fact energy of ejected electrong depend on frequency (hv)

Work function
hv= Kinetic Energy+w

Photon dual theory
 Photons have both wave and particle effects
 Difraction and interference are functions of wave
 PHotoelectric is function of particle

Bohr stationary state
Stated that elecrong has stome sttionary state in which it does not emit EM radiation

Boher energy to move between states
 hv= E_{2}E_{1}
 Shows spectral frequency of an electron moving between energy states

Relation between momentum and velocity
p=mvel

Psi must be well be haved. What does well behaved mean (33 criterea)
 Singel valued
 Smooth and continuous (function and derivative)

Postulate 4: Measurement to eigenvalue connection
 States that for an operator F, ther corespanding eigenvalues f crepresent all possible values of that physical quantity

Deffining aeigenvalue
If A_hat is an operator and a is a constant and g is some function
So long as then g is an eigenfunction

Postulate 5: expected values
 if we have some value f we wish to find, teh average value will be
 \bar F =

Zero POint energy of a particle
Lowest possible energy (can be less than zero)

Nodes related to quantum enegy
Nodes = n1

Energy in quantum, vs classic
Quantum does not allow all energy levels, classic does

Comparison of quantoum to classic enegy lowest
Lowest energy is not zero in quantum, it is in classic

Location of particle in quantum vs classic
In quantum there ar non equal possible locations and forbiden zones, in classical, all are equally possible.

Tying energy change to wavelength
E=(hc/lambda)

