Reciprocal Space Representation Sample Clauses

Reciprocal Space Representation. ‌ For simplicity, we set the orthogonalisation hole density δnoh → 0. This is equivalent to setting the effective valence occupation to Z∗ = Z and noh = 0 in Eqs.(2.69) and (2.70). Using the perturbative results of the previous section, we can fully evaluate Ebind in Eq.(2.51). Recall that the band-structure energy Eband is given by = 2 Eband Σ fk Σεk + ⟨k|w|k⟩ + Σ′ |S (q)|2 ⟨k|w|k + q⟩⟨k + q|w|k⟩ Σ , (2.83) N k q εk − εk+q where fk is the Fermi-Dirac distribution. Given that we restrict our analysis to zero temperature, the Fermi-Dirac distribution is a step function. The first term in our expansion can be evaluated by replacing the summation over k with an integral N k (2π) 5 2 Σ fkεk → 2Ω 3 ∫ dk fkεk = 3 Zε F
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  • Tenant Certification and Representations During the term of this Contract, Tenant hereby certifies that:

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  • MULTIPLE REPRESENTATION The Buyer hereby acknowledges that the Brokerage may be entering into listing agreements with sellers of properties the Buyer may be interested in buying or leasing. In the event that the Brokerage has entered into or enters into a listing agreement with the seller of a property the Buyer may be interested in buying or leasing, the Brokerage will obtain the Buyer’s written consent to represent both the Buyer and the seller for the transaction at the earliest practicable opportunity and in all cases prior to any offer to purchase or lease being submitted or presented. The Buyer understands and acknowledges that the Brokerage must be impartial when representing both the Buyer and the seller and equally protect the interests of the Buyer and the seller in the transaction. The Buyer understands and acknowledges that when representing both the Buyer and the seller, the Brokerage shall have a duty of full disclosure to both the Buyer and the seller, including a requirement to disclose all factual information about the property known to the Brokerage. However, The Buyer further understands and acknowledges that the Brokerage shall not disclose: • that the seller may or will accept less than the listed price, unless otherwise instructed in writing by the seller; • that the Buyer may or will pay more than the offered price, unless otherwise instructed in writing by the Buyer; • the motivation of or personal information about the Buyer or seller, unless otherwise instructed in writing by the party to which the information applies or unless failure to disclose would constitute fraudulent, unlawful or unethical practice; • the price the Buyer should offer or the price the seller should accept; and • the Brokerage shall not disclose to the Buyer the terms of any other offer. However, it is understood that factual market information about comparable properties and information known to the Brokerage concerning potential uses for the property will be disclosed to both Buyer and seller to assist them to come to their own conclusions. Where a Brokerage represents both the Seller and the Buyer (multiple representation), the Brokerage shall not be entitled or authorized to be agent for either the Buyer or the Seller for the purpose of giving and receiving notices.

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