Transmittance is the fraction of incident radiant flux transmitted through a specified object or boundary. Specify wavelength, angle of incidence, electromagnetic polarization and which outgoing light is collected.

Radiometric absorptance is the fraction of incident radiant flux converted to heat in the specified receiver: $P_{\mathrm{abs}}=a{P}_{\mathrm{in}}$, with $0\le a\le 1$ for a passive receiver. Specify the entrance boundary, wavelength, incidence angle and receiver temperature. Radiation reflected or transmitted out of that receiver is not absorbed power. A cavity can improve radiometric absorptance by giving light repeated opportunities for wave absorption; a dark coating alone does not establish $a=1$.

For broadband light, spectral radiant flux matters: $P_{\mathrm{abs}}=\int a(\lambda ){\Phi }_{e,\lambda }(\lambda )d\lambda$. A single effective radiometric absorptance therefore depends on the incident optical spectrum as well as on the receiver. If the stated incident boundary lies before a window of known power transmission ${\tau }_w$, the receiver absorbs $a{\tau }_w{P}_{\mathrm{before}}$ when other optical losses are absent. Window loss and receiver radiometric absorptance are separate corrections.

The fraction of incident radiant flux returned by reflection, for specified wavelength, angle of incidence and collection directions.

The 1993 Nobel chemistry announcement credits Kary Mullis with inventing the polymerase chain reaction method and states that the technique was first presented in 1985. The reusable-product principle explains its power: each successfully copied interval can help specify the next generation. The award attribution is a historical claim; it does not imply that every improvement in DNA polymerases, thermal cyclers or PCR controls came from one person.^[ref]

Real-time polymerase chain reaction monitors fluorescence during cycling. With validated specificity, calibration and PCR efficiency, that record supports estimating initial template amount; this quantitative use is called qPCR. Ordinary endpoint PCR amplification examines accumulated product afterwards. qPCR need not start from RNA, and RT-PCR need not monitor fluorescence. Combining both operations gives RT-qPCR.^[ref]

RT-PCR combines reverse transcription with PCR amplification. The RT names the RNA-to-DNA step, not real-time observation. RT-PCR can have an endpoint readout. A matched preparation omitting reverse transcriptase tests whether contaminating DNA could account for amplification; it answers a different question from a no-template reaction.^[ref]

The DNA Learning Center's Detection of an Alu Insertion Polymorphism by PCR by DNA Learning Center, Cold Spring Harbor Laboratory supplies a concrete length-based example. It collects mouthwash biological cells, concentrates them with a microcentrifuge, heats them by Chelex extraction and transfers the DNA-containing supernatant. Its $25\mu \mathrm{L}$ reaction combines $2.5\mu \mathrm{L}$ of that preparation with primer mix and a reagent bead in a thermal cycler. Thirty cycles use $94$, $68$ and $72^{\circ }\mathrm{C}$, each for thirty seconds. An electrophoresis chamber separates products by agarose gel electrophoresis in a 2 percent gel; a UV transilluminator reveals stained DNA.^[ref]

Its PCR primers flank an insertion site at the PV92 locus. The student protocol predicts a 715-base pair product with the Alu element and a 415-base pair product without it. Two bands support a heterozygous genotype; one corresponding band supports a homozygous genotype only if amplification and detection of both alleles were adequate. These are the protocol's expected readouts, not newly collected observations.^[ref]

The instructor manual describes extra bands from nonspecific priming and a small diffuse primer dimer band. A missing target band therefore cannot on its own distinguish failed extraction, inhibited copying, poor binding or lack of the target. Nor does detection of the Alu element at this one genetic locus establish a complete genome, a unique personal identity or a clinical conclusion. The PCR controls help separate these possibilities; DNA sequencing can add sequence evidence to the size comparison.^[ref]

PCR specificity concerns whether the accumulated amplicon comes from the intended interval. Binding temperature, PCR primer nucleotide sequences and their possible alternative binding sites matter. Too permissive binding can support competing products; excessively restrictive binding can prevent the intended product. A band of the expected length is useful evidence, but unrelated nucleotide sequences can have the same length. DNA sequencing tests identity more directly, subject to mixtures and copying errors.^[ref]

For a stipulated population of amplifiable copies, let $N_n$ be the amount after cycle $n$ and define PCR efficiency by the fractional new yieldHere $E_n=1$ means one additional copy per existing copy, hence ideal doubling. If every cycle has the same PCR efficiency $E$, the exponential growth model gives $N_n=N_0(1+E{)}^n$. Starting with $N_0=100$ copies, twenty ideal cycles give $104857600$ copies; the stipulated value $E=0.8$ gives about $12748236$. An efficiency of 80 percent therefore means multiplication by 1.8 each cycle, not retention of 80 percent of the final ideal yield.

In the ideal strand-counting example, all duplex-equivalent material doubles, but exact-length amplicons lag initially. Starting from one longer duplex and retaining its two original strands, cycle $n\ge 1$ contains $2(2^n-n-1)$ exact-length strands out of $2^{n+1}$ total strands. Thus their fraction is $1-(n+1)/2^n$: zero after cycle 1, one quarter after cycle 2 and one half after cycle 3. This counts strands rather than assuming every strand immediately finds an exact-length partner. The generic yield model above ignores this early distinction.

A thermal cycler changes the temperature of reaction tubes through a programmed sequence. A heated lid can reduce evaporation and condensation above the reaction. Instrument timing, sample temperature and nominal block temperature need not be identical.

A PCR thermal cycle separates three jobs. During PCR denaturation, heating separates the paired DNA strands without intentionally cutting their phosphodiester bonds. During PCR annealing, cooling permits base pairing between PCR primers and templates. During PCR extension, the chosen interval supports DNA polymerase synthesis from the paired $3^{\prime }$ ends. Each new nucleotide is supplied as a deoxynucleoside triphosphate; its incorporation lengthens the strand. The DNA polymerase is a catalyst, while these nucleotides are consumed substrates.^[ref]

Taq polymerase withstands repeated high-temperature strand separation better than a heat-sensitive DNA polymerase. Its extension activity still depends on temperature, buffer solution and magnesium ions. Heat resistance does not mean constant activity at every stage: the separation temperature serves the DNA, whereas the extension temperature serves the copying enzyme. As one institutional example, Addgene's Basic PCR Program specifies $94^{\circ }\mathrm{C}$ separation, $55^{\circ }\mathrm{C}$ primer binding and $72^{\circ }\mathrm{C}$ extension. These are example settings, not universal properties of all PCR primers or DNA polymerases.^[ref]

For timing arithmetic alone, those stipulated holds give $20+25+45=90\mathrm{s}$ per PCR thermal cycle, and three cycles give $270\mathrm{s}$. Adding an assumed $90\mathrm{s}$ initial separation and $180\mathrm{s}$ final extension gives $540\mathrm{s}=9\min$ of holds. A real thermal cycler also takes time to move between temperatures. The schedule tells us when conditions favour PCR denaturation, PCR annealing or PCR extension; it does not measure the fraction of DNA copied.

An actual institutional protocol makes the distinction concrete. New England Biolabs specifies mixing templates and PCR primers with its OneTaq master mix in a thin-walled tube; a quick spin collects liquid at the bottom. Its $25\mu \mathrm{L}$ preparation uses $12.5\mu \mathrm{L}$ of the twice-concentrated mix and $0.5\mu \mathrm{L}$ of each $10\mu \mathrm{M}$ PCR primer stock, with water completing the volume. Tubes enter a thermal cycler preheated to $94^{\circ }\mathrm{C}$; mineral oil is specified if there is no heated lid. The program gives thirty cycles of $94^{\circ }\mathrm{C}$ separation, $45$–$68^{\circ }\mathrm{C}$ binding and $68^{\circ }\mathrm{C}$ extension, with extension time scaled to product length. The binding setting must be selected for the PCR primers; the range is not a continuously swept setting.^[ref]

The dilution can be checked independently: each PCR primer has final concentration $10\times 0.5/25=0.2\mu \mathrm{M}$, while the mix is diluted twofold. For an endpoint readout, Addgene specifies examining a product aliquot by gel electrophoresis.^[ref] Pair that size comparison with the existing PCR controls: a known template and a no-template tube test different explanations of success or failure. Those comparisons are an analytical addition, not controls documented in the OneTaq schedule. An expected-sized band supports production of a length-compatible amplicon; it does not establish its nucleotide sequence, ideal PCR efficiency or successful separation during every cycle. Neither protocol supplies a measured temperature or yield curve for the schematic above.

An amplicon is a nucleic acid product of amplification. In ordinary PCR amplification without added primer tails, its boundaries eventually correspond to the outer ends of the two PCR primer binding sites. First-cycle extensions on long starting templates can run beyond the opposite site; exact-length single strands appear in cycle 2 and exact-length duplex products in cycle 3 under complete extension. This explains why the bounded product becomes dominant even though the initial extensions need not have its length.

A PCR primer is a short DNA strand that supplies a paired $3^{\prime }$ end for a DNA polymerase. Its nucleotide sequence determines where base pairing can initiate copying. Matching a PCR primer at one site is insufficient: both PCR primers must support opposed extension across a copyable interval for sustained selective PCR amplification.

Self-pollination transfers pollen within one plant, either within a flower or between its flowers. It describes the transfer step, whereas self-fertilization requires successful fusion of gametes from the same individual.

A self-incompatibility system can prevent a self-pollination from yielding successful fertilization. Observing pollen on a stigma therefore does not by itself establish which parent produced a later seed.

Transfer of pollen between different individuals of the same species; compare self-pollination.^[ref]

A flower can contain both reproductive groups and still receive pollen from another individual. Conversely, transfer between two flowers on one plant does not by itself imply cross-pollination. Following the donor and recipient individuals makes pollination useful for studying genetics: organ position alone cannot identify whose alleles meet at fertilization.

A plant that produces flowers and encloses its ovules within an ovary.

A grouping of biological cells in a plant with related functions. In a seed, plant embryo tissues and endosperm have distinct developmental identities.

A leaf is a plant organ commonly specialized for light capture and photosynthesis, with internal transport and regulated surface exchange. Modified leaves can instead emphasize storage, protection or other functions. A cotyledon is an embryonic leaf, so function alone does not define organ identity.

A root is a plant organ specialized principally for anchorage and acquisition of water and dissolved nutrients. Its branching and transport tissues connect the surrounding substrate with the rest of the plant. The embryonic root is the radicle; adventitious roots arise from other organs.