Bohr Magneton

 Bohr Magneton

Bohar Magneton :

 

- Consider An Electron Moving In Circular Orbit With Velocity V

  Thean Circular Orbit Behaves Like Current Carrying Wire And

  Behave Like A Magnetic Dipole,So Magnatic Momet

 

  μL = IA.....(1)

  μL = - e/T πr^2....(2)

 

- We Know That -

  T = 2πr/V

then

  μL = - eπr^2v/2πr

  μL = - 1/2 evr.....(3)

- We Knoe That -

  L = mvr

  vr = L/M

So,

  μL = - 1/2 (eL/m)

  μL = - eL/2M.....(4)

  μL/L = - e/2m

 

  |μL/L| = e/2m.....(5)

 

- The Ratio Of Orbital Magnetic Moment And Angular Momentum

   Is Know As Gyro Magnatic Ratio.

 

- Where, μL Is Bohr Magnetic

- Similarly Spin Magnetic Moment

- The Value Of The Bohr Magneton In SI Units Is Approximately:

  μB ≈ 9.2740100783 × 10^(-24) J/T (joules per tesla)

- When An External Magnetic Field Is Applied To An Atom Or A

  Particle With An Intrinsic Magnetic Moment, The Energy Levels

  Of The System Can Be Split Or Shifted.

- The Bohr Magneton Helps In Understanding And Predicting

  These Effects, Such As In The Zeeman Effect (Splitting Of

  Spectral Lines In The Presence Of A Magnetic Field) And The

  Behavior Of Magnetic Materials.

- Bohr Magneton Is Used For Fundamental Calculations, And In

  Some Practical Cases, Other Magnetic Moments Are Used For

  Convenience, Such As The Nuclear Magneton (μN) For Nuclei.

#BohrMagneton

#QuantumPhysics

#AtomicStructure

#MagneticMoment

#MagneticProperties

#ZeemanEffect

#Spectroscopy

#ParticlePhysics

#QuantumMechanics

#PhysicsConstants

#ElectronOrbit

#GroundState

#MagneticInteractions

#PhysicsFundamentals

#MagneticMaterials

#NielsBohr

#HydrogenAtom

#ElementaryCharge

#PlancksConstant

#ReducedPlancksConstant

#ElectronRestMass

#AtomicPhysics

#MolecularPhysics