Generate Slater Type Orbitals
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The document describes how to generate Slater-type orbitals (STOs) for the atoms carbon, nitrogen, and silicon. It provides the Slater rules for determining the effective nuclear charge (Z*) from the atomic number (Z) and screening constant (S). It then gives the STO expressions for the 2s, 2p, 3s, and 3p orbitals of each atom, using the appropriate Z* value calculated from the Slater rules.
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![Slater Type Orbital Expression
𝝍ₙₙₙ (r,Ө,ф)= [ N r⁽ⁿ⁻¹⁾ (exp -Z*r/n)] [ (yₙₙ (Өф))]
● N is the normalization factor
● n’ is the effective principal quantum number
● l is the azimuthal quantum number
● m is the magnetic quantum number
● Z* is the effective nuclear charge
● yₗₗ (Өф) is the spherical harmonics](data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7)
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In Odoo, making a field required can be done through both Python code and XML views. When you set the required attribute to True in Python code, it makes the field required across all views where it's used. Conversely, when you set the required attribute in XML views, it makes the field required only in the context of that particular view.
LAND USE LAND COVER AND NDVI OF MIRZAPUR DISTRICT, UP
This Dissertation explores the particular circumstances of Mirzapur, a region located in the
core of India. Mirzapur, with its varied terrains and abundant biodiversity, offers an optimal
environment for investigating the changes in vegetation cover dynamics. Our study utilizes
advanced technologies such as GIS (Geographic Information Systems) and Remote sensing to
analyze the transformations that have taken place over the course of a decade.
The complex relationship between human activities and the environment has been the focus
of extensive research and worry. As the global community grapples with swift urbanization,
population expansion, and economic progress, the effects on natural ecosystems are becoming
more evident. A crucial element of this impact is the alteration of vegetation cover, which plays a
significant role in maintaining the ecological equilibrium of our planet.Land serves as the foundation for all human activities and provides the necessary materials for
these activities. As the most crucial natural resource, its utilization by humans results in different
'Land uses,' which are determined by both human activities and the physical characteristics of the
land.
The utilization of land is impacted by human needs and environmental factors. In countries
like India, rapid population growth and the emphasis on extensive resource exploitation can lead
to significant land degradation, adversely affecting the region's land cover.
Therefore, human intervention has significantly influenced land use patterns over many
centuries, evolving its structure over time and space. In the present era, these changes have
accelerated due to factors such as agriculture and urbanization. Information regarding land use and
cover is essential for various planning and management tasks related to the Earth's surface,
providing crucial environmental data for scientific, resource management, policy purposes, and
diverse human activities.
Accurate understanding of land use and cover is imperative for the development planning
of any area. Consequently, a wide range of professionals, including earth system scientists, land
and water managers, and urban planners, are interested in obtaining data on land use and cover
changes, conversion trends, and other related patterns. The spatial dimensions of land use and
cover support policymakers and scientists in making well-informed decisions, as alterations in
these patterns indicate shifts in economic and social conditions. Monitoring such changes with the
help of Advanced technologies like Remote Sensing and Geographic Information Systems is
crucial for coordinated efforts across different administrative levels. Advanced technologies like
Remote Sensing and Geographic Information Systems
9
Changes in vegetation cover refer to variations in the distribution, composition, and overall
structure of plant communities across different temporal and spatial scales. These changes can
occur natural.
Exploiting Artificial Intelligence for Empowering Researchers and Faculty, In...
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at Integral University, Lucknow, 06.06.2024
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How to Create a More Engaging and Human Online Learning Experience
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LAND USE LAND COVER AND NDVI OF MIRZAPUR DISTRICT, UP
LAND USE LAND COVER AND NDVI OF MIRZAPUR DISTRICT, UP
Exploiting Artificial Intelligence for Empowering Researchers and Faculty, In...
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Generate Slater Type Orbitals
- 1. Generate STO’s 2s&2p orbitals of C 2s&2p orbitals of N 3s&3p orbitals of Si
- 2. Slater Type Orbital Expression 𝝍ₙₙₙ (r,Ө,ф)= [ N r⁽ⁿ⁻¹⁾ (exp -Z*r/n)] [ (yₙₙ (Өф))] ● N is the normalization factor ● n’ is the effective principal quantum number ● l is the azimuthal quantum number ● m is the magnetic quantum number ● Z* is the effective nuclear charge ● yₗₗ (Өф) is the spherical harmonics
- 3. Effective Nuclear charge get expressed as Z* = Z - S ● Z is the atomic number ● S is the screening constant The value of screening constant is determined from slater rules.
- 4. C ( 1s22s22p2) S = (3*0.35) + (2*0.85)= 2.75 Z* = Z - S = 6 - 2.75 = 3.25 STO for 2s : Ф2s = [R₂₀(r)] [ (yₙₙ (Өф) ] = [ r exp ( -3.25r/2)] [1/√4ℼ] STO for 2p : Ф2p = [ r exp ( -3.25r/2)] [½ . (√3/ℼ) cosӨ
- 5. N ( 1s22s22p3 ) S = (4*0.35) + (2*0.85) = 3.10 Z* = Z - S = 7 - 3.10 = 3.90 STO for 2s : Ф2s = [R₂₀(r)] [ (yₙₙ (Өф) ] = [ r exp ( -3.90r/2)] [1/√4ℼ] STO for 2p : Ф2p = [ r exp ( -3.25r/2)] [½ . (√3/ℼ) cosӨ
- 6. Si (1s22s22p63s23p2) S = (0.35*3) + (0.85*8) + (1*2)= 9.85 Z* = Z - S = 14 - 9.85 = 4.15 STO for 3s : Ф3s = [R₃₀(r)] [ yₙₙ (Өф) ] = [ r² exp ( -4.15r/3)] [1/√4ℼ] STO for 3p : Ф3p = [ r² exp ( -4.15r/3)] [½ . (√3/ℼ) cosӨ