Science & Mathematics quantum numbers

[Old Skool]

Anyone up on this stuff?

 

[Pie eyed]

Anyone up on this stuff?

Up on it....LOL

Git reddy fo yo brain t splode.

n = 1-6

 

[Old Skool]

Up on it....LOL

Git reddy fo yo brain t splode.

n = 1-6

Which of the following sets of quantum numbers are unacceptable? Name the correctly described orbitals?

(1,0,1/2,-1/2)
(3,0,0,+1/2)
(2,2,1,+1/2)
(4,3,-2,+1/2)
(3,2,1,1)

I'm not having issues with n, l and ml, but I am a little bit stuck on ms.

 

[Caesar]

Gotta love the 'do my homework for me' threads.

 

[iffstarz]

Which of the following sets of quantum numbers are unacceptable? Name the correctly described orbitals?

(1,0,1/2,-1/2)
(3,0,0,+1/2)
(2,2,1,+1/2)
(4,3,-2,+1/2)
(3,2,1,1)

I'm not having issues with n, l and ml, but I am a little bit stuck on ms.

Since you're a fellow Kangas supporter

Forgive me I haven't touched this stuff for a while but from memory n is the principal quantum number, l - orbital quantum number, ml - magnetic quantum number, ms - spin quantum number.

I assume the orbitals are defined in the natural order: (n, l, ml, ms)

In quantum mechanics, angular momentum is discretized (distinct energy level). As l (orbital momentum) represents the azimuthal component of angular momentum, it follows that l is discretized and can only take the form of an integer. For a given value l, there are 2l+1 possible ml values ranging from -l to l (i.e. if l =2, ml can be any one of -2, -1, 0, 1 or 2).

Looking at the 5 quantum states, number one is not a quantum state as by definition ml is an integer if l is an integer (given the formula above) - only the spin quantum number can be +/- 1/2.

Hope this helps

 

[Old Skool]

Gotta love the 'do my homework for me' threads.

I already handed it in.

 

[Old Skool]

Since you're a fellow Kangas supporter

Forgive me I haven't touched this stuff for a while but from memory n is the principal quantum number, l - orbital quantum number, ml - magnetic quantum number, ms - spin quantum number.

I assume the orbitals are defined in the natural order: (n, l, ml, ms)

In quantum mechanics, angular momentum is discretized (distinct energy level). As l (orbital momentum) represents the azimuthal component of angular momentum, it follows that l is discretized and can only take the form of an integer. For a given value l, there are 2l+1 possible ml values ranging from -l to l (i.e. if l =2, ml can be any one of -2, -1, 0, 1 or 2).

Looking at the 5 quantum states, number one is not a quantum state as by definition ml is an integer if l is an integer (given the formula above) - only the spin quantum number can be +/- 1/2.

Hope this helps

Thanks.

my answers were:

(1,0,1/2,-1/2) - Does not exist. ml does not exist in 1/2 description
(3,0,0,+1/2) - Exists. This is one of the 18 possible states of n=3
(2,2,1,+1/2) - Exists. This is one of the 8 possible states of n=2
(4,3,-2,+1/2) - Exists. This is one of the 32 possible states of n=4
(3,2,1,1) - Does not exist. ms is always denoted by +/- 1/2

 

[IAMJUNGLEMUFFIN]

The answer is 42.

 

[iffstarz]

Yep, your answers looks pretty good.

5 is not a state as well as the spin moment can only be positive/negative (to denote either CL or ACL rotation) and is restricted to +/-1/2.

 

[thecatattack]

2 + 2 = 4

 

[estibador]

I've never read anything in my life that I understood less than this thread.

 

[Pie eyed]

Which of the following sets of quantum numbers are unacceptable? Name the correctly described orbitals?

(1,0,1/2,-1/2)
(3,0,0,+1/2)
(2,2,1,+1/2)
(4,3,-2,+1/2)
(3,2,1,1)

I'm not having issues with n, l and ml, but I am a little bit stuck on ms.

Carn OS!
You really think I'm going to contribute the billion odd neuron connections necessary to mentally investigate that post................without some form of financial gain?


You half spin me right round baby not quite right round, like a hadron baby, half round, quarter round.

 

[Old Skool]

Stop showing off.

 

[divvydan]

Thanks.

my answers were:

(1,0,1/2,-1/2) - Does not exist. ml does not exist in 1/2 description
(3,0,0,+1/2) - Exists. This is one of the 18 possible states of n=3
(2,2,1,+1/2) - Exists. This is one of the 8 possible states of n=2
(4,3,-2,+1/2) - Exists. This is one of the 32 possible states of n=4
(3,2,1,1) - Does not exist. ms is always denoted by +/- 1/2

Agree on all bar the middle one, the second number, l, can range from 0 to n-1 and not to n itself.

 

[Old Skool]

Agree on all bar the middle one, the second number, l, can range from 0 to n-1 and not to n itself.

Yep correct. l = to 0 or 1.

 

[DESTRUCTOR]

Someone care to explain what quantum numbers are and what they're used for?

 

[Werewolf]

Only just discovered this thread o). If you haven't looked it up already...

Someone care to explain what quantum numbers are and what they're used for?

They describe electron orbitals in an atom, i.e. the shape of the electron's orbit and most likely position in an atom.

Each electron has it's own quantum numbers and no two electrons in an atom can have the same quantum numbers.

The first number (n) is the principal quantum number - it determines the electron distance from the nucleus and it's energy level.

The existence of the other numbers (l, ml, ms) was inferred when it was found energy levels could split in a magnetic field.