GLOBAL KNOWLEDGE ARK

Reference library

Foundations

Explore concepts, laws, equations and methods, with clear explanations of their use and sources. Choose an area of study or find a specific entry.

More filters

Reference entries

Showing 931–960 of 1709 reference entries

BiologyTranslation initiation and start-site selection

Canonical eukaryotic initiation recruits a small ribosomal complex near the capped mRNA end and scans for a start codon in a suitable context.

Model
BiologyEnhancers and regulated transcription complexes

Enhancer-bound activators can influence a promoter through protein interactions, including Mediator and chromatin-remodelling or modifying complexes.

Model
BiologySignal recognition and ER translocation

In the canonical secretory route, SRP recognizes an emerging signal sequence and targets the ribosome–nascent-chain complex to the ER receptor and Sec61 channel.

Model
BiologyMitochondrial protein targeting and import

Many nuclear-encoded mitochondrial matrix proteins carry targeting sequences recognized by TOM and transferred through the TIM23 pathway.

Model
BiologyRab-guided targeting and SNARE fusion

Rab GTPases and effectors help recruit and tether transport carriers at appropriate membranes.

Model
BiologyHeterotrimeric G-protein receptor cycle

An activated GPCR promotes GDP release and GTP binding on a heterotrimeric G protein's α subunit.

Model
BiologyReceptor tyrosine kinase and Ras signalling

Activation of a receptor tyrosine kinase can create phosphotyrosine docking sites for adaptors and enzymes.

Model
BiologyLigand-regulated nuclear receptors

Members of the nuclear-receptor family bind suitable intracellular ligands and regulate target-gene transcription through DNA-binding and co-regulatory interactions.

Model
Biology · ChemistryProtein folding, environment and chaperones

A protein sequence and its chemical environment constrain a conformational energy landscape.

Model
Biology · ChemistryRubisco oxygenation and photorespiratory salvage

Rubisco's oxygenase activity produces a three-carbon phosphoglycerate and a two-carbon phosphoglycolate from RuBP.

Model
Biology · ChemistryC4 and CAM carbon-concentrating strategies

In a common C4 route, PEP carboxylation supplies four-carbon acids that deliver CO₂ to Rubisco in a spatially separated compartment.

Model
BiologyChloroplast export, storage and sink supply

Chloroplast triose-phosphate exchange with inorganic phosphate connects photosynthetic fixation to cytosolic sucrose synthesis.

Model
ChemistrySeparability of molecular partition contributions

A molecular internal partition function sums the Boltzmann weights and degeneracies of its internal states.

Approximation
ChemistryRigid-rotor rotational partition function

A linear rigid rotor has rotational levels proportional to J(J+1), with magnetic degeneracy 2J+1.

Approximation
ChemistryHarmonic vibrational partition and energy zero

For one harmonic normal mode, a geometric sum gives its vibrational partition function.

Approximation
ChemistryRotational and vibrational electric-dipole spectra

In an electric-dipole description, a pure rotational transition requires a molecular permanent dipole, while a normal-mode vibrational transition requires a changing dipole along that coordinate.

Model
ChemistryFranck–Condon vibrational overlap

An electronic transition is fast relative to nuclear motion, so its initial nuclear coordinates are approximately unchanged during the transition.

Approximation
ChemistryDiffusive chemical transport and mass continuity

In an isotropic Fickian transport model, diffusive mass flux is proportional to the negative local mass-density gradient.

Model
ChemistryRepresentations, characters and normal-mode reduction

Matrices representing symmetry operations on a chosen basis must reproduce group composition.

Method
ChemistrySymmetry selection of IR and Raman modes

A transition matrix element ⟨initial|O|final⟩ can be nonzero only when Γinitial*⊗Γoperator⊗Γfinal contains the totally symmetric representation.

Method
BiologyAnimal body-plan characters and phylogenetic limits

Symmetry, germ layers, body cavities and segmentation describe different aspects of animal organization.

Definition
BiologySponge feeding and cellular organization

Many sponges pump water through pores and feeding chambers using choanocyte flagella, capturing particles at the collars for intracellular digestion.

Model
BiologyCnidarian tissues, digestion and life cycles

Cnidarians characteristically possess cnidocytes with specialized discharge organelles, tissue layers around a gastrovascular cavity and a distributed nervous system.

Model
BiologyMolluscan regions and annelid segmentation

A typical molluscan organization comprises a mantle, visceral mass and a muscular foot whose form can be strongly modified.

Model
BiologyEcdysozoan molting and comparative body systems

Ecdysozoans replace an external cuticle through molting and ecdysis.

Model
BiologyEchinoderm and chordate comparative organization

Echinoderms characteristically have a calcareous internal skeleton and a water vascular system associated with tube feet; typical adults are pentaradial even though their ancestry lies within bilaterian animals.

Model
BiologyMeiotic gametogenesis and cytoplasmic asymmetry

Gametogenesis combines germ-cell proliferation, meiosis and cellular differentiation.

Model
BiologyOrganismal heat exchange and thermal regulation

Body heat exchange involves radiation, evaporation, convection and conduction.

Model
BiologyPlant meristems, primary growth and secondary tissues

Plant growth combines cell production in meristems with expansion and differentiation.

Model
BiologyMutation flow and two-allele equilibrium

Mutation transfers allele copies between states.

Model
ApproximationSource checked

Franck–Condon vibrational overlap

Chemistry

An electronic transition is fast relative to nuclear motion, so its initial nuclear coordinates are approximately unchanged during the transition.

Key knowledge

An electronic transition is fast relative to nuclear motion, so its initial nuclear coordinates are approximately unchanged during the transition. Under the Condon approximation, the electronic transition moment varies little across the relevant nuclear coordinates and the vibrational contribution to intensity depends on the squared overlap of initial and final vibrational wavefunctions. This explains progressions without assigning every band solely from an energy gap.

Values and equations

FCv′v = |∫ χv′*(Q) χv(Q) dQ|²

FCv′v
dimensionless vibrational overlap factor 1
χv,χv′
normalized initial and final vibrational wavefunctions coordinate-normalization dependent
Q
nuclear coordinate or set of coordinates integrated over the same measure coordinate dependent

Conditions and scope

  • Condon factorization is approximate; vibronic coupling can change intensities and selection rules.
  • The strongest band is not guaranteed to connect potential minima or any one classical turning point.
Sources · 1

References

Sources retain their recorded scope. A source link alone does not establish verification of every statement.

  1. Lectures 30–31: Molecular Spectroscopy, pp.2–5Robert W. Field — MIT OpenCourseWare, Physical Chemistry (Fall 2017)Textbook chapter · PDFocw.mit.eduRead source

Evidence and review

Read vertical-transition and vibrational-overlap argument on pp.4–5; used modulus squared and explicit Condon condition rather than universal turning-point claims.

2026-10-10 · Independent AI editorial review: All 94 actual compact claims, hypotheses, equation/variable/unit tables and 176 origin semantic links independently read. All exact author source-binding rows and disclosed extents assessed; targeted original bodies or specifically identified indexed primary passages rechecked below. All retained chemistry compact records read for combined breadth. Independent AI editorial content and practical common-core inventory review; no human specialist, degree/laboratory proficiency, whole-textbook certification or experimental replication. Receipt: chemistry-independent-content-inventory-review.1.

Entry detailsPermanent link to this entry ↗
Record identity
uni-chem-franck-condon
Revision
core.1
Structured reference record
University core expansion