Two major Contenders
Plum pudding model (Thompson)
Planetary Moel (Rudherford)
Source : 83214Bi;
Energy of α particles 5.5 MeV
Taget : A very thin gold foil (2.1×10−7m)
Detector : Zinc sulphide (scintillation) + Microscope
+ve charge distribution
r21→ Outside the sphere
21mv2
4πϵ0θ1θ2
z∼100
5.5 MeV
Tiny fraction of an angstron
1Ao
0.1Ao
Gravitation : r2GMm
Coulomb : 4πϵ01r2Q1,Q2
In an inverse square field : F∼r21
Most general tranjectory is either
(i) Ellipse → sphere
Ellipse → st line
(ii) Hyperbold → Parabola
The positive charge is distributed in a very small region in the atom
rp∼10−4rat
Electron
Proton
Neutron
Ao
1Ao=10−8cm
≃10−10m
0.1nm
10−13cm
10−15fm
Charge at rest
Electrostatic field
v→ No acceleration.
E,B
Electromagnetic wave
Radiation
10−15m
∼10−9
Ry → Rydberg Constant
Ry(n221−n421)
n1,n2 are integers
n1=1;n2=2,3...
n2=2,3...→ integers
n4=1;n2=3,4....→ Balmer
1) Atom is mostly empty.
10−15m
∼10−10m
2) This model is not in agreement with other observations.
(a) Spectral of radiation are discrete
(b) Atoms are all stale
10−9s electrons model
Electrons do not collapse.
There must be a lowest orbit which is stable.
Two Tasks at hand
(1) Understand discrete spectrum
(2) Understand stability
Bohr Model
[h] → Energy × Time
[h] → Angular mumentum → Bohr exploited
Emission of Radiation by accelerating electrons are also governed by new physics.
We need new principle
Bohr model is Semi classical