Multiple Bonds (Section)
a) Draw a picture showing how two p orbitals on two different atoms can be combined to make a σ bond.
(b) Sketch a π bond that is constructed from p orbitals.
(c) Which is generally stronger, a σ bond or a π bond? Explain. (d) Can two s orbitals combine to form a π bond? Explain.
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(Midterm 2) Theory Lemmas, theorems and definitions Polynomials over a ring R Definition: Polynomials over a ring R (with coefficients in R) are expressions of type r0 1+r2+........n where, x is referred to an indeterminate (n≥0 an1 2…..,nare coefficients) subject to certain conventions. Lemma: All polynomials together with ‘+’, ‘.’ forms a ring called polynomial ring over R; denoted as R[x] (contains R) Lemma: Suppose R is an integral domain . Let f(x), g(x) ∈ R[x]. Then deg(f(x).g(x))=deg f(x) + deg g(x) Theorem: Suppose R is an integral domain, then the ring R[x] is an integral domain. Theorem: Let R be an integral domain. Let f(x)∈R[x] Then f(x) is a unit in R[x] Division algorithm for polynomials Let F be a field Let a(x), b(x) ∈ F[x], then there exists polynomials q(x), r(x) satisfying 1. a(x)=b(x)q(x)+r(x) 2. r(x)=0 or deg r(x)
Textbook: Chemistry: The Central Science
Author: Theodore E. Brown; H. Eugene LeMay; Bruce E. Bursten; Catherine Murphy; Patrick Woodward
Chemistry: The Central Science was written by and is associated to the ISBN: 9780321696724. The full step-by-step solution to problem: 59E from chapter: 9 was answered by , our top Chemistry solution expert on 04/03/17, 07:58AM. Since the solution to 59E from 9 chapter was answered, more than 344 students have viewed the full step-by-step answer. This textbook survival guide was created for the textbook: Chemistry: The Central Science, edition: 12. This full solution covers the following key subjects: Bond, Orbitals, explain, generally, combined. This expansive textbook survival guide covers 49 chapters, and 5471 solutions. The answer to “Multiple Bonds (Section)a) Draw a picture showing how two p orbitals on two different atoms can be combined to make a ? bond. (b) Sketch a ? bond that is constructed from p orbitals. (c) Which is generally stronger, a ? bond or a ? bond? Explain. (d) Can two s orbitals combine to form a ? bond? Explain.” is broken down into a number of easy to follow steps, and 59 words.