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  2. How were the shapes of s, p, d, and f orbitals determined ... -...

    socratic.org/questions/what-shape-are-electron-orbitals-how-were-these-shapes...

    The orbital shapes are actually representation of (Psi)^2 all over the orbit simplified by a contour Orbitals are actually bounded regions which describe an area where the electron can be .Probability density of an electron is the same as |psi|^2 or the square of wavefunction. The wave function psi_(nlm_l)(r,theta,phi) = R_(nl)(r)Y_(l)^(m_l)(theta,phi), where R is the radial component and Y is ...

  3. What are the different kinds of f orbitals? - Socratic

    socratic.org/questions/what-are-the-different-kinds-of-f-orbitals

    The 4f orbitals can be separated into three types (here, we use the convention that outer atoms point their y axes inwards and z axes upwards): 1) Two lobes - σ bonding only (ml = 0) The f z3 (ml = 0) is the only one that only σ bonds. It can bond head-on along the z axis. 2) Six lobes - σ and π bonding, OR ϕ bonding only (ml = − 3, + 3 ...

  4. What is the shape of f-orbital??? + Example - Socratic

    socratic.org/questions/58ca8005b72cff4e5daf7d17

    4F ORBITAL SHAPES. Curated from Wikipedia, these are the 4f orbitals. Row-wise, these have corresponding magnetic quantum number ml values in the set {− 3, −2, − 1,0, + 1, + 2, +3}. n = 4 ORBITAL RADIAL NODES. The radial density distribution of the 4f orbitals could be compared with the 4s,4p, and 4d orbitals: Regarding their nodes, we ...

  5. For s, p, d, and f orbitals, how many electrons can each hold?

    socratic.org/questions/for-s-p-d-and-f-orbitals-how-many-electrons-can-each-hold

    Explanation: The subshells s, p, d, and f contain the following number of orbitals respectively, where every orbital can hold up to two electrons maximum: s: 1 orbital, 2 electrons. p: 3 orbitals, 6 electrons. d: 5 orbitals, 10 electrons. f: 7 orbitals, 14 electrons. See below. The subshells s, p, d, and f contain the following number of ...

  6. What are s,p,d,f orbitals? - Socratic

    socratic.org/questions/what-are-spdf-orbitals

    Orbitals are the regions of space in which electrons are most likely to be found. > Each orbital is denoted by a number and a letter. The number denotes the energy level of the electron in the orbital. Thus 1 refers to the energy level closest to the nucleus; 2 refers to the next energy level further out, and so on. The letter refers to the shape of the orbital. The letters go in the order s ...

  7. Why is the s-orbital always spherical in shape? - Socratic

    socratic.org/questions/why-is-the-s-orbital-always-spherical-in-shape

    1 Answer. Because its wave function has no angular dependence. By definition, an s orbital has zero angular momentum, and l = 0. Any nonzero angular momentum leads to atomic orbitals having non -spherical shapes. Some explicit wave functions for the hydrogen atomic orbitals are: ψ1s(r,θ,ϕ) = 1 √π (1 a0)3/2 e−r/a0.

  8. Why are s orbitals shaped like spheres but p orbitals shaped like...

    socratic.org/questions/57f09cb211ef6b5dd113d1fe

    It is a nonzero ml that produces a non-spherical shape! However, for p orbitals, there is l = 1, so ml = {− 1,0, + 1}, which gives a response to a magnetic field and produces a magnetic projection in the +z, 0, and −z directions. That gives your dumbbell shape. The only difference with this image is that for 2pz you only go up to units of ...

  9. Which atomic orbitals of which subshells have a dumbbell shape?

    socratic.org/questions/which-atomic-sub-orbitals-have-a-dumbbell-shape

    So, the 3py orbital is dumbbell-shaped, just like the 3px and 3pz. Y 3d z2(θ) = 0 when 3cos2θ − 1 = 0. It turns out that solving that gives θ = arccos(± 1 √3), which corresponds to an axis about 54.7∘ from the z axis. Since Y 3dz2 is not a function of ϕ though, ϕ is constant, and the angle from the z axis is revolved around the z ...

  10. How many nodal points 3p orbital have? - Socratic

    socratic.org/questions/how-many-nodal-points-3p-orbital-have

    Not sure what you mean by points, but the 3p orbital has: a principal quantum number n = 3, placing it on the third energy level. an angular momentum quantum number l = 1, giving it the shape of a p orbital. The number of radial nodes, otherwise known as spherical shell nodes, is given by n - l - 1, so there is n - l - 1 = 3 - 1 - 1 = bb1 radial node in the 3p orbital (see the green circle in ...

  11. Orbitals, and Probability Patterns - Chemistry | Socratic

    socratic.org/chemistry/the-quantum-mechanical-model-of-the-atom/orbitals-and...

    The electron orbitals are filled in the same manner that they appear on the periodic table. H is 1s1 and He represents 1s2. Li is 2s1 and Be represent 2s2. B is 2p1, C is 2p2, N is 2p3, and O, and F until Ne represents 2p6. Continuing down the periodic table you can fill each orbital by the row, block and column of the periodic table.