2b and 2p

Gray dotted lines) at \(\sim\) 517.6 and 523.8 eV, which correspond to the transition of V 2p to V 3d states. The N K-edge of VN films (see Fig. 2b) is consistent with the previous reports [20], the peaks at around 398.2 and 400.2 eV correspond to the V 3d-hybridized states, while the peak at around 410.6 eV is assigned to the combination of N p and V 4sp states. Furthermore, features observed near 416.4 eV and above are attributed to N p states mixed with the extended set orbitals [20].To characterize the superconductivity properties of VN films, we conducted temperature-dependent electrical transport measurements using a van der Pauw geometry. Figure 3a illustrates the reduction in resistivity of VN films as the temperature is lowered from 300 to 8.2 K, consistent with previous reports [11]. Notably, an obvious broad bump at around 200 K can be observed, which is in contrast to the behavior of TiN films that exhibit a linear relation between \(\rho\) and T over a broad temperature [21]. This bump of temperature-dependent resistivity can be connected to the tetragonal-to-cubic structural phase transition [11]. As the temperature further decreases, a sharp transition from the normal to superconducting states occurs at 8.2 K, and zero resistance is achieved at 8.1 K. We further examine the effect of perpendicular magnetic fields on the superconducting critical temperature. Figure 3b shows the resistivity measured with variable magnetic fields. As seen, the \(\text {T}_\text {c}\) is gradually suppressed by the magnetic field, the

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Algebra Help Worksheet ListBelow is a list of all our algebra worksheets. Still need help after working through these worksheets? At Wyzant, connect with algebra tutors and math tutors nearby. Prefer to meet online? Find online algebra tutors or online math tutors in a couple of clicks.BasicsBasic EquationsSample Problem: x + 9 = 18 – 2xSolution: x = 3Basic ProportionsSample Problem: 4 8- = --x 20Solution: x = 10Consecutive Integer Word ProblemsSample Problem: What are two consecutive even integers that have a sum of 26?Solution: 12, 14SimplifyingSimplifying and Solving Equations with Multiple SignsSample Problem: – -16 – x = 13Solution: x = 3Simplifying and Solving Equations by Combining Like TermsSample Problem: 6x – 2 + 2x = -2 + 4x + 8Solution: x = 2MultiplicationTwo Single TermsSample Problem: 11s * 12s3Solution: 132s4Distributive PropertySample Problem: 2(4 + 9x)Solution: 8 + 18xFOIL MethodSample Problem: (1 + x)(3 + 2x)Solution: 3 + 5x + 2x2ExponentsOf NumbersSample Problem: 52Solution: 25Of VariablesSample Problem: (k2m3)2Solution: k4m6Of Polynomials (Parentheses)Sample Problem: (2y + 9)2Solution: 4y2 + 36y + 81Advanced SimplifyingOrder of OperationsSample Problem: 3 + 2 * 5x(y + 1)Solution: 3 + 10xy + 10xNegative ExponentsNegative Exponents of NumbersSample Problem: 2-3Solution: 1/8Negative Exponents of VariablesSample Problem: j-3Solution: 1/j3Negative Exponents in FractionsSample Problem: a-2b/aSolution: b/a3SubstitutionSubstitution IntroductionSample Problem: Evaluate: b + x2, where b = -2 and x = p + 1.Solution: p2 – 2p – 1FactoringFactoring NumbersSample Problem: 15Solution: 1, 3, 5, 15Finding a Greatest Common Factor (GCF) of Two NumbersSample Problem: 42, 98Solution: 14Finding a Greatest Common Factor (GCF) of Two TermsSample Problem: 21x2y, 7xy3Solution: 3xyFactoring a GCF From an ExpressionSample Problem: 5x2 + 15x3Solution: 5x2(1 + 3x)Factoring a Difference Between Two SquaresSample Problem: x2 – 49Solution: (x + 7)(x – 7)Factoring a TrinomialSample Problem: 5u2 + -11uv + 6v2Solution: (5u – 6v)(u – v)Factoring CompletelySample Problem: x4 + 7x3 + 12x2Solution: x2(x + 3)(x + 4)Equations – AdvancedSolve By FactoringSample Problem: x2 – 12x + 27 = 0Solution: x = 3, 9Completing the SquareSample Problem: x2 + x – 3.75 = 0Solution: x = -2.5, 1.5Solve Using the Quadratic FormulaSample Problem: x2 + x – 3.75 =

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