PDF Archive

Easily share your PDF documents with your contacts, on the Web and Social Networks.

Send a file File manager PDF Toolbox Search Help Contact



atomic structure (Autosaved) .pdf


Original filename: atomic structure (Autosaved).pdf
Author: GAURAV

This PDF 1.5 document has been generated by Microsoft® Word 2013, and has been sent on pdf-archive.com on 30/11/2017 at 18:44, from IP address 157.37.x.x. The current document download page has been viewed 580 times.
File size: 241 KB (1 page).
Privacy: public file




Download original PDF file









Document preview


Rutherford model:
Rnucleous = r0 (A) 1/3 ,[r0 = 1.4 x 10-15 m]
N(θ) = Ni n L Z2 k2 e4 / ( 4 r2 KE2 Sin4(θ/2)

Particle
electron
proton
neutron
Alpha (He+2)

Ni = no. of incident alpha particle
n = atoms per unit volume in target
L = thickness of target
r = target to detector distance

Mass (kg)
9.1 x 10-31 = 1/1837 amu
1.67 x 10-27 = 1.007 amu
1.67 x 10-27 = 1.008 amu
4 amu

Angular momentum of orbit = mvr = nh/2ᴫ
Force balance: kq1q2 /r2 = kze2/r2 = mv2/r
r = 0.529 n2 /z Ȧ
v = 2.18 x 106 z/n m/s
E = -13.6 z2/n2 ev = -2.18 x 10-18 z2/n2 J
K.E = -T.E
P.E = 2 T.E
T = 1.524 x 10-16 n3/z2
ν = 0.65 X 1016 z2/n3
Closest distance of approach: [ K.E. = P.E. ]
kq1q2 /r = ½ mv2

ΔE = En2 – En1 = h ν = hc/λ = hcū
ΔE = 13.6 Z2 ( 1 / n12 - 1 / n22 ) eV
ΔE = 2.18 x 10-18 Z2 ( 1 / n12 - 1 / n22 ) J

Number of spectral lines between
two level: = (n2 – n1) (n2 – n1 + 1)/ 2

ΔE = I.E. ( 1 / n12 - 1 / n22 )
1/ λ = ν/c = ū = R Z2 ( 1 / n12 - 1 / n22 )
R = 1.1 x 107 m-1

Bohr model:
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.

Rydberg equation:

Charge (C)
-1.6 x 10-19
+1.6 x 10-19
0
2 x 1.6 x 10-19

Atomic
Structure

Series
lyman
balmer
paschen
Bracket
pfund
Humphery

transition
To n=1 from n = 2,3....
n=2
n=3
n=4
n=5
n=6

region
UV
VISIBLE (for H atom)
IR
IR
IR
IR

Debrolglie wave
λ = h/p = h/mc = h/mv = h/ √(2 m KE) = h/ √(2 m q V) = 2ᴫr/n
For electron, if accerlated through a potential difference of V
λe = h/ √(2 m e V) = 12.3 / √V = √(150/V) Ȧ

Photoelectric effect:
Plank quantum theory:
c = ν λ or ν = c ū

Unit conversion:

Heisenberg uncertainty principle:

ū = 1/ λ

1 Ȧ = 10-10 m
1 nm = 10-9 m
1 pm = 10-12m
1 amu = 1.67 x 10-27 kg
1 eV = 1.6 x 10-19 J
1 erg = 10-7 J
1 cal = 4.18 J

ΔX ΔP ≥ h/4ᴫ

Ephoton = hν = hc/λ = hcū = 1
quantum (energy of single
photon)
Etotal = n hν = n hc/λ = n hcū
(n is no. of quanta or photons)

ΔX ΔV ≥ h/4ᴫm
ΔE Δt ≥ h/4ᴫ
ΔX Δλ ≥ λ2 / 4ᴫ
Percentage error in position = ΔX/X x 100

hν = hc/λ= w0 + K.E
w0 = hν0 = hc/λ0
KE = eV (V is stopping potential)
Photo current = i = Q/t = ne/t (n is no. of ejected
photo electron)
I1 / I2 = i1 / i2 = (r2/r1)2 [ I = intensity, i =
photocurrent, r is distance between source and
metal surface ]


Document preview atomic structure (Autosaved).pdf - page 1/1

Related documents


PDF Document atomic structure autosaved
PDF Document statistical mechanics and many b0dy models
PDF Document quantum protectorate models
PDF Document tp1 lecturenotesproblems
PDF Document chemistrysyllabus
PDF Document the farmer and the quantum physicist


Related keywords