In: Chemistry

The fundamental (v = 0 ! v = 1) vibrational transition for H35Cl occurs at 2885 cm-1 . Close inspection of a high-resolution infrared spectrum of this transition shows the following absorptions (in cm-1 ) for the J ! (J-1) branch: 2865.10, 2843.62, 2821.56, 2798.94, 2775.76, 2752.04, 2727.78, 2703.01, and 2677.73. From these data, determine

a) the rotational-vibrational coupling constant, αe

b) the rotational constant, Be

c) the bond distance

The fundamental vibrational frequencies for 1H2and 14N2 are 4401
and 2359 cm−1, respectively, and De for this
molecules is 7.677×10−19 and 1.593×10−18 J respectively.
Part A
Using this information, calculate the bond energy of 1H2.
Express your answer to four significant figures and include the
appropriate units.
EH2 =
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Part B
Calculate the bond energy of 14N2.
Express your answer to four significant figures and include the
appropriate units.
EN2 =

Bound state in potential. Where
V(x)=inf for x<0
V(x)=0 for 0 ≤ x ≤ L
V (x) = U for x > L
Write down the Schrödingerequation and solutions (wavesolutions)
on general form for the three V(x).

1.Determine whether S spans V . Justify your answers.
V = C ^0 [−1, 1] (the vector space of continuous functions on
[−1, 1]) and S = {1, t, t2 , t3 , . . . }.
2.Let S be a set in a vector space V and v any vector. Prove
that span(S) = span(S ∪ {v}) if and only if v ∈ span(S).

The vibrational wavenumber of Br2 is 323.2 cm-1.
a) Evaluate the vibrational partition function
without approximation and plot its value as a function of
temperature.
b) Determine the temperature at which the value obtained lies
within 5% of the approximate value.

Let V = {P(x) ∈ P10(R) : P'(−4) = 0 and P''(2) = 0}. If V=
M3×n(R), ﬁnd n.

Let f(x,y)= (3/2)(x^2+y^2 ) in 0≤x≤1, 0≤y≤1.
(a) Find V(X)
(b) Find V(Y)

verify that the function det has the following properties
1. det(... ,v,..., v,...)=0
2. det(...,cv+dw,...)=c*det(...,v,...)+d*det(...,w,...)
3. use the above properties and normalization to prove that
A= det(...,v+cw,...w,...)=det(...,v,...,w,...)
B=det(...,v,...,w,...)= (-1)*det(...,w,...,v,...) and
C= det [diag (λ1, ... , λn ) ] = Πiλi

Find the special fundamental matrix for the following system
such that Φ(0) = I.
x' = row 1 ( 4 3 )
row 2 ( 3 -4 ) * x

1. Choose one of the transition or inner transition metals from
the periodic table. Nickel Using your book (Chapter 23 may be very
useful) and Internet resources, discuss why your transition metal
and their compounds display a variety of color. Be sure to include
in your discussion, important oxidation states, the electron
configuration and how the d-electrons are involved. How can you
include the electromagnetic spectrum and the nature of light into
your discussion? How is energy and wavelength related?...

0. 0. 0. 0.0. 0. 0. 0. 0. 1. 1. 1. 1. 1. 1. 2. 2. 2.
3. 4.
A.)MEAN –
B.)MEDIAN -
C.)MODE -
D.)STANDARD DEVIATION –
E.)5 NUMBER SUMMARY –
F.)BOX AND WHISKERS PLOT –
G.) OUTLIERS-

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