, ,m .l,m.l,
(N-1)=(4-1)= N=3 l=0,1,2,3
n=2, l=1: 2p n=3, l=2: 3d n=4, l=0: 4s n=5, l=4: 5f
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Three different values of l are possible in the third principle or quantum level. They are: l=0, 1, and 2.
The (n + l) rule, also known as the Aufbau principle, is a guideline used to determine the order of electron filling in atomic orbitals. It states that electrons occupy orbitals in order of increasing values of the sum of the principal quantum number (n) and the azimuthal quantum number (l). For example, the 3s orbital (n=3, l=0) has a value of 3, while the 4s orbital (n=4, l=0) has a value of 4, so the 3s fills before the 4s. Similarly, the 3p orbital (n=3, l=1) has a value of 4, making it fill after the 4s but before the 3d orbital (n=3, l=2), which has a value of 5.
n=4 s=-1/2 n=3 l=0
For an electron with n=5, the possible values of l range from 0 to 4 (l=0, 1, 2, 3, 4). The value of l depends on the principal quantum number (n) according to the rule that l can be any integer value from 0 to n-1.
First, we can use the distance formula to find the length of LM: d(L,M) = sqrt((4 - (-3))^2 + (9 - 1)^2) = sqrt(49 + 64) = sqrt(113) Since LM:MN = 2:3, we can express the distance from L to N as (3/2) times the distance from L to M: d(L,N) = (3/2) * d(L,M) = (3/2) * sqrt(113) To find the coordinates of N, we need to determine the direction from M to N. We know that LMN is a straight line, so the direction from M to N is the same as the direction from L to M. We can find this direction by subtracting the coordinates of L from the coordinates of M: direction = (4 - (-3), 9 - 1) = (7, 8) To find the coordinates of N, we start at M and move in the direction of LMN for a distance of (3/2) * d(L,M): N = M + (3/2) * d(L,M) * direction / ||direction|| where ||direction|| is the length of the direction vector, which is: ||direction|| = sqrt(7^2 + 8^2) = sqrt(113) Substituting the values, we get: N = (4, 9) + (3/2) * sqrt(113) * (7/sqrt(113), 8/sqrt(113)) Simplifying, we get: N = (4 + (21/2), 9 + (24/2)) = (14.5, 21) Therefore, the coordinates of N are (14.5, 21). Answered by ChatGPT 3
That's correct! l = 3 corresponds to the f-subshell
I have essentially zero ability to answer that without seeing the equation. Another answer: n-1 = 3-1= 2 l=2 ml= -2,-1,0,1,2.
This browser is totally bloody useless for mathematical display but...The probability function of the binomial distribution is P(X = r) = (nCr)*p^r*(1-p)^(n-r) where nCr =n!/[r!(n-r)!]Let n -> infinity while np = L, a constant, so that p = L/nthenP(X = r) = lim as n -> infinity of n*(n-1)*...*(n-k+1)/r! * (L/n)^r * (1 - L/n)^(n-r)= lim as n -> infinity of {n^r - O[(n)^(k-1)]}/r! * (L^r/n^r) * (1 - L/n)^(n-r)= lim as n -> infinity of 1/r! * (L^r) * (1 - L/n)^(n-r) (cancelling out n^r and removing O(n)^(r-1) as being insignificantly smaller than the denominator, n^r)= lim as n -> infinity of (L^r) / r! * (1 - L/n)^(n-r)Now lim n -> infinity of (1 - L/n)^n = e^(-L)and lim n -> infinity of (1 - L/n)^r = lim (1 - 0)^r = 1lim as n -> infinity of (1 - L/n)^(n-r) = e^(-L)So P(X = r) = L^r * e^(-L)/r! which is the probability function of the Poisson distribution with parameter L.
ALLEN A = 3 L = 1 L = 1 E = 4 N = 3 Total = 12