Amit Kumar Paul
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View article: Parametrized topological complexity of bundles of real projective spaces, I
Parametrized topological complexity of bundles of real projective spaces, I Open
Analysis of motion algorithms for autonomous systems operating under variable external conditions leads to the concept of parametrized topological complexity \cite{CFW}. In \cite{CFW}, \cite{CFW2} the parametrized topological complexity wa…
View article: Enhancement of Complexation due to the Effect of a Bath: A van der Waals Complex in N2 Bath
Enhancement of Complexation due to the Effect of a Bath: A van der Waals Complex in N2 Bath Open
In the present computational approach, the detail analysis of association followed by ensuing dissociation reaction of excited benzene (Bz) and hexafluorobenzene (HFB) system at 1000 K is performed in condensed phase system consisting of 1…
View article: Sequential parametrized topological complexity of sphere bundles
Sequential parametrized topological complexity of sphere bundles Open
Autonomous motion of a system (robot) is controlled by a motion planning algorithm. A sequential parametrized motion planning algorithm [10] works under variable external conditions and generates continuous motions of the system to attain …
View article: A detailed theoretical investigation on intramolecular charge transfer mechanism of primary, secondary, and tertiary p-amino substituted benzaldehyde
A detailed theoretical investigation on intramolecular charge transfer mechanism of primary, secondary, and tertiary p-amino substituted benzaldehyde Open
This article reports a detailed theoretical investigation on dual fluorescence properties of p-amino substituted benzaldehyde molecules by taking specifically p-N,N-dimethylaminobenzaldehyde (3° PABA), p-N-methylaminobenzaldehyde (2° PABA)…
View article: Details of exit channel dynamics of the ozonolysis of catechol in condensed phase: Product channels and product energy partitioning
Details of exit channel dynamics of the ozonolysis of catechol in condensed phase: Product channels and product energy partitioning Open
Direct dynamics simulations on the ozonolysis reaction of catechol is performed in a vacuum and in an N2 bath to study the various aspects of the exit channel dynamics of the reaction. The simulations were conducted at 20 and 324 kg/m3 den…
View article: Sequential parametrized topological complexity of sphere bundles
Sequential parametrized topological complexity of sphere bundles Open
Autonomous motion of a system (robot) is controlled by a motion planning algorithm. A sequential parametrized motion planning algorithm \cite{FP22} works under variable external conditions and generates continuous motions of the system to …
View article: CCDC 2177113: Experimental Crystal Structure Determination
CCDC 2177113: Experimental Crystal Structure Determination Open
An entry from the Cambridge Structural Database, the world’s repository for small molecule crystal structures. The entry contains experimental data from a crystal diffraction study. The deposited dataset for this entry is freely available …
View article: CCDC 2212214: Experimental Crystal Structure Determination
CCDC 2212214: Experimental Crystal Structure Determination Open
An entry from the Cambridge Structural Database, the world’s repository for small molecule crystal structures. The entry contains experimental data from a crystal diffraction study. The deposited dataset for this entry is freely available …
View article: CCDC 2177108: Experimental Crystal Structure Determination
CCDC 2177108: Experimental Crystal Structure Determination Open
An entry from the Cambridge Structural Database, the world’s repository for small molecule crystal structures. The entry contains experimental data from a crystal diffraction study. The deposited dataset for this entry is freely available …
View article: CCDC 2177112: Experimental Crystal Structure Determination
CCDC 2177112: Experimental Crystal Structure Determination Open
An entry from the Cambridge Structural Database, the world’s repository for small molecule crystal structures. The entry contains experimental data from a crystal diffraction study. The deposited dataset for this entry is freely available …
View article: CCDC 2177109: Experimental Crystal Structure Determination
CCDC 2177109: Experimental Crystal Structure Determination Open
An entry from the Cambridge Structural Database, the world’s repository for small molecule crystal structures. The entry contains experimental data from a crystal diffraction study. The deposited dataset for this entry is freely available …
View article: CCDC 2177110: Experimental Crystal Structure Determination
CCDC 2177110: Experimental Crystal Structure Determination Open
An entry from the Cambridge Structural Database, the world’s repository for small molecule crystal structures. The entry contains experimental data from a crystal diffraction study. The deposited dataset for this entry is freely available …
View article: CCDC 2212215: Experimental Crystal Structure Determination
CCDC 2212215: Experimental Crystal Structure Determination Open
An entry from the Cambridge Structural Database, the world’s repository for small molecule crystal structures. The entry contains experimental data from a crystal diffraction study. The deposited dataset for this entry is freely available …
View article: CCDC 2177111: Experimental Crystal Structure Determination
CCDC 2177111: Experimental Crystal Structure Determination Open
An entry from the Cambridge Structural Database, the world’s repository for small molecule crystal structures. The entry contains experimental data from a crystal diffraction study. The deposited dataset for this entry is freely available …
View article: Sequential parametrized motion planning and its complexity, II
Sequential parametrized motion planning and its complexity, II Open
This is a continuation of our recent paper [6] in which we developed the theory of sequential parametrized motion planning. A sequential parametrized motion planning algorithm produced a motion of the system which is required to visit a pr…
View article: Simplicial and combinatorial versions of higher symmetric topological complexity
Simplicial and combinatorial versions of higher symmetric topological complexity Open
In this paper, we introduce higher symmetric simplicial complexity $SC_n^Σ(K)$ of a simplicial complex $K$ and higher symmetric combinatorial complexity $CC_n^Σ(P)$ of a finite poset $P$. These are simplicial and combinatorial approaches t…
View article: CCDC 2130893: Experimental Crystal Structure Determination
CCDC 2130893: Experimental Crystal Structure Determination Open
An entry from the Cambridge Structural Database, the world’s repository for small molecule crystal structures. The entry contains experimental data from a crystal diffraction study. The deposited dataset for this entry is freely available …
View article: CCDC 2130892: Experimental Crystal Structure Determination
CCDC 2130892: Experimental Crystal Structure Determination Open
An entry from the Cambridge Structural Database, the world’s repository for small molecule crystal structures. The entry contains experimental data from a crystal diffraction study. The deposited dataset for this entry is freely available …
View article: CCDC 2130891: Experimental Crystal Structure Determination
CCDC 2130891: Experimental Crystal Structure Determination Open
An entry from the Cambridge Structural Database, the world’s repository for small molecule crystal structures. The entry contains experimental data from a crystal diffraction study. The deposited dataset for this entry is freely available …
View article: Details of Exit Channel Dynamics of the Ozonolysis of Catechol in Condensed Phase: Product Channels and Product Energy Partitioning
Details of Exit Channel Dynamics of the Ozonolysis of Catechol in Condensed Phase: Product Channels and Product Energy Partitioning Open
View article: Sequential parametrized motion planning and its complexity, II
Sequential parametrized motion planning and its complexity, II Open
This is a continuation of our recent paper in which we developed the theory of sequential parametrized motion planning. A sequential parametrized motion planning algorithm produced a motion of the system which is required to visit a prescr…
View article: Sequential parametrized motion planning and its complexity
Sequential parametrized motion planning and its complexity Open
In this paper we develop a theory of sequential parametrized motion planning generalising the approach of parametrized motion planning, which was introduced recently in [3]. A sequential parametrized motion planning algorithm produced a mo…
View article: Sequential Parametrized Motion Planning and its Complexity
Sequential Parametrized Motion Planning and its Complexity Open
In this paper we develop theory of sequential parametrized motion planning which generalises the approach of parametrized motion planning, which was introduced recently in [3]. A sequential parametrized motion planning algorithm produced a…
View article: CCDC 2039807: Experimental Crystal Structure Determination
CCDC 2039807: Experimental Crystal Structure Determination Open
View article: An upper bound for higher topological complexity and higher strongly equivariant complexity
An upper bound for higher topological complexity and higher strongly equivariant complexity Open
We prove an upper bound of higher topological complexity $TC_n(X)$ using higher $\mathcal{D}$-topological complexity $TC_n^{\mathcal{D}}(X)$ of a space $X$. An intermediate invariant $\widetilde{TC}_n(X)$ is used in the proof. We interpret…
View article: Higher analogs of simplicial and combinatorial complexity
Higher analogs of simplicial and combinatorial complexity Open
View article: Potential energy surfaces for the HBr+ + CO2 → Br + HOCO+ reaction in the HBr+ 2Π3/2 and 2Π1/2 spin-orbit states
Potential energy surfaces for the HBr+ + CO2 → Br + HOCO+ reaction in the HBr+ 2Π3/2 and 2Π1/2 spin-orbit states Open
Quantum mechanical (QM) + molecular mechanics (MM) models are developed to represent potential energy surfaces (PESs) for the HBr+ + CO2 → Br + HOCO+ reaction with HBr+ in the 2Π3/2 and 2Π1/2 spin-orbit states. The QM component is the spin…
View article: Energy and temperature dependent dissociation of the Na+(benzene)1,2 clusters: Importance of anharmonicity
Energy and temperature dependent dissociation of the Na+(benzene)1,2 clusters: Importance of anharmonicity Open
Chemical dynamics simulations were performed to study the unimolecular dissociation of randomly excited Na+(Bz) and Na+(Bz)2 clusters; Bz = benzene. The simulations were performed at constant energy, and temperatures in the range of 1200–2…