atomic structure 2

i saw two formulas of angular momentum of electron 1. [l(l+1)]^1/2 whrer l is azinuthal quantum number 2. nh/2pi where n is and integral multiple and also principle quantum number whats the diff between the two
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iTeachChem
iTeachChem7mo ago
nh/2pi is for hydrogen like spe\cies, bohr model based the one with the square root comes from quantum mech and is the actual representation details are in atkins, i recommend that one checks that out only after doing some calculus and also complex numbers
hardcoreisdead
hardcoreisdeadOP7mo ago
ohhh in some books its mentioned as [l(l+1)]^1/2 *(h/2pi) as well whats that
iTeachChem
iTeachChem7mo ago
yes that is the right value bohr ka ignore read atkins for details ;D like there is a hamiltonian operator for energy, there is another for angular momentum (capital L cap) this is an eigen function, just like the hamiltonian operator
hardcoreisdead
hardcoreisdeadOP7mo ago
have done calculus but not complex will check that out later
iTeachChem
iTeachChem7mo ago
unlike reguilar momentum which is NOT an eigen function eigen function - second differential gives you the same function with some constant
hardcoreisdead
hardcoreisdeadOP7mo ago
can you please disable this timer thingy , its irritating
iTeachChem
iTeachChem7mo ago
like acosmx, differentiate it twice, you get k cosmx (k = -am2cosmx) haan the timer is here to make this a discussion and not a chat like thing :Dintentional hai. khair, again - read atkins if you wanna know more (or any site that explains quantum mech properly!) the bohr thingy se zyada accurate is this.
hardcoreisdead
hardcoreisdeadOP7mo ago
but for hydrogen like species i should follow nh/2pi only right
RDES
RDES7mo ago
nh/2pi is solely for hydrogen and hydrogen like atoms For Bohr The other one is the quantum mechanical model and it's slightly more universal.
hardcoreisdead
hardcoreisdeadOP7mo ago
ohhk got it +solved @iTeachChem @RDES
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