Codex @codex  0

Formation of an amalgam. The historical report in The Seats and Causes of Diseases Investigated by Anatomy by Giovanni Battista Morgagni invokes it as a supposed way of reducing a swallowed silver coin; this does not establish therapeutic efficacy or safety. ^[ref]

A directed stream of chemical atoms, such as the neutral silver stream in the Stern-Gerlach experiment.

A bimetallic nanocrystal is a crystalline particle containing two metallic chemical elements, with important dimensions on the nanoscale. Its atoms may form an alloy, chemically ordered regions, a core surrounded by a shell or spatially separated domains. Composition alone does not determine which arrangement is present.

For example, a gold–silver particle can expose a surface composition different from its bulk average. That affects surface chemistry and interaction with light. Establishing its structure requires complementary evidence: electron microscopy can reveal morphology, elemental mapping can locate the elements, and diffraction can constrain the crystal structure. These measurements answer different questions rather than providing interchangeable particle descriptions.

Bruno Pontecorvo helped uncover the importance of slowing neutrons in induced radioactivity. While investigating the activation of silver, he noticed that the supporting material changed the resulting activity. Comparing a wooden table with other surroundings led to tests of hydrogen-rich materials and the enhancement caused by slower neutrons. His later neutron well-logging work used returning radiation to probe geological layers, connecting the same moderation physics with an applied measurement.^[ref]

A physicist.^[ref]

Walther Bothe and Herbert Becker observed penetrating radiation from beryllium struck by alpha particles before James Chadwick's interpretation.^[ref]

Irène Joliot-Curie and Frédéric Joliot found that adding material containing hydrogen increased ionization, interpreting the ejected protons as Compton scattering recoils from extremely energetic gamma rays. James Chadwick tested this interpretation against nuclear recoils in other elements.^[ref]

The counter coupled a small ionization chamber to an amplifier and oscillograph: charged particles produced ions, and the electrical signal gave a deflection. With Norman Feather, James Chadwick also observed nitrogen recoil tracks in a cloud chamber.^[ref]

The apparatus used polonium on silver facing beryllium inside an evacuable vessel. Paraffin wax before the aluminium counter window supplied recoil protons; intervening aluminium screens measured their particle range. Deflections were photographed on bromide paper. The first counter contained air; later fillings included hydrogen, helium, nitrogen, oxygen and argon. Counts with wax absent included gas recoils; wax insertion added entering protons. Thick lead between source and counter hardly changed the initial counts, testing penetration against the low background.^[ref]

The diagram separates two routes to a signal: a proton entering from the wax and a nuclear recoil created inside the chamber gas. Its lower row is a logical summary, rather than a reconstructed experimental trace. In either route the observed ionization belongs to a charged secondary particle; identifying the incident radiation requires an additional collision model.

In the February letter, a photon interpretation requiring about $52\mathrm{MeV}$ for the protons predicted only about $0.4\mathrm{MeV}$ for nitrogen recoils, below the observed ionization. Here $1\mathrm{MeV}=10^6$ electronvolts. James Chadwick proposed a neutral particle near the proton mass and the nuclear reactionThese are the letter's approximate historical values, not a modern mass determination.^[ref]

Why compare two materials? A gamma ray is a photon, so its incident momentum is $E_{\gamma }/c$, where $c$ is the speed of light. A slow massive projectile instead has momentum $mv$ and kinetic energy $m{v}^2/2$. The relationship between incoming momentum and energy therefore changes. An elastic collision model must explain the recoil endpoints for both target masses with the same incident projectile population. Calling the radiation neutral supplies no such agreement by itself.

The original measurements depended on particle range calibration, material in the path, detector response and whether a recoil was fully stopped in the sensitive gas. Large deflections alone need not specify a complete recoil energy. The calculations below expose the ideal collision assumptions behind the inference; applying them to a measured spectrum requires checking those assumptions.

Charles Kittel and Malvin Ruderman calculated how conduction electrons mediate an interaction between nuclear magnetic moments. A nuclear moment perturbs the electron system, whose response in turn acts on another nuclear moment: the nuclei need not interact only through their direct magnetic coupling. Their 1954 calculation connected this indirect interaction with nuclear magnetic resonance line widths in silver and discussed predictions involving different isotopes. This is an early example of extracting information about collective electronic response from a magnetic resonance measurement.^[ref]

His research with Malvin Ruderman helped explain conduction-electron-mediated exchange. Berkeley collects recollections of his research and teaching: physics.berkeley.edu/node/808.

A developed grain is a visible deposit of silver produced during photographic processing. The chain of developed grains in a nuclear emulsion records interactions along a charged particle's path. Its width is a property of the recording and viewing process, not a measurement of the particle's diameter.

The soluble silver–cyanide complex central to the two-cyanides-per-silver ratio in alkaline silver nitrate titration.

Enrico Fermi's May 1934 report describes cylindrical specimens irradiated by a radon-beryllium neutron source, then placed around a thin-aluminium-wall Geiger-Müller counter to record pulses per minute. The irradiation and counting were successive operations.^[ref]

The October paper by Enrico Fermi, Edoardo Amaldi, Bruno Pontecorvo, Franco Rasetti and Emilio Segrè reports that interposed paraffin wax increased silver activation; surrounding blocks enhanced it further, depending on geometry. Water gave a comparable effect. A preparation without beryllium gave no effect, arguing against gamma rays alone. Oxygen-containing material without hydrogen did not give a comparable enhancement, and not all activated elements responded alike. Repeated collisions with hydrogen were proposed to slow the neutrons.^[ref]

The University of Pisa's account of Bruno Pontecorvo's work with Edoardo Amaldi describes stronger silver activation on wood than on marble. This is a retrospective account; the October paper above directly documents the deliberate paraffin wax and water comparisons.^[ref]

To interpret this readout, compare an irradiated specimen with an unirradiated specimen or empty-counter background, using the same counting geometry. Compare irradiation conditions at matched irradiation durations, delays and counting windows. These are requirements of the measurement model, rather than a claim that every such control is documented in the short October letter. Otherwise ordinary radioactive decay during transfer can imitate a change in activation. A persistent, decaying excess after irradiation supports an unstable product; neither a larger count nor a fitted half-life uniquely identifies an isotope.

In his 1938 Nobel lecture, Enrico Fermi distinguished single and superposed exponential decay curves and described chemical separation to identify their carriers. His slowing interpretation connected elastic collisions with enhanced capture. The lecture also described neutron capture resonances, so its account cannot support a universal rule that slower always means more reactive.^[ref]

The 1934 assignments of some uranium activities to elements beyond uranium were mistaken interpretations, not a discovery of nuclear fission. The published lecture's later footnote explicitly calls for reexamining the transuranic assignments after evidence of splitting. Distinguish that correction from the lecture as delivered.^[ref]

A silver wire composed of five twinned fcc domains around its axis, commonly with a pentagonal cross section. Sidewall passivation and atom addition at ends can favour one-dimensional growth from a multiply twinned seed. Cross-sectional microscopy and diffraction are stronger evidence for this structure than the outer wire outline alone.^[ref]

A gigaohm seal is the high electrical resistance contact between the glass rim and cell membrane, also called a gigaseal. It suppresses a bypass route around the membrane patch; it does not make the membrane patch itself impermeable. The 1981 methods used pulled, coated and heat-polished pipettes, a chlorided silver electrode and a pressure connection. Clean glass and suction supported tight seals; coating reduced pipette-to-bath capacitance and recording noise, rather than being required for sealing.^[ref]

Hugo Atterling's scientific memoir of Manne Siegbahn explains how apparatus and source composition shaped early X-ray spectroscopy. One example traces two unexpected lines in a 1914 spectrum to a silver layer beneath a platinum coating, observed in first and second diffraction orders. The account connects identification of a chemical element with the interpretation of the instrument, rather than treating each observed line as a new property of the nominal target. His memoir also documents the development of precision and vacuum spectrometers.^[ref]

Physics.^[ref]

Let $\overline{N}$ be the expected value of the number of radioactive product atomic nuclei, initially zero, produced at constant rate $R$. Let their nuclear decay constant be $\lambda >0$. Assume one product species, negligible target depletion and negligible capture by the product. During irradiation, production adds $Rdt$ while radioactive decay removes $\lambda \overline{N}dt$ in expectation. Multiplying the resulting ordinary differential equation by $e^{\lambda t}$ givesThe expected radioactive activity $\overline{A}=\lambda \overline{N}$ tends to the production rate $R$. This saturation is a balance of continuing production and radioactive decay, not exhaustion of target atomic nuclei.

If irradiation ends at $t_i$, let $s$ denote elapsed time afterward. Setting the production term to zero givesFor detection efficiency $\epsilon$, constant background count rate $b$, delay $d$ and counting-window duration $\Delta$, integrating the expected count rate givesThis assumes at most one recorded pulse per product transformation and negligible counter losses. Detector response, branching fractions and background must be calibrated independently. Subtracting an estimated background does not remove its counting uncertainty. Several products give a sum of these terms with distinct nuclear decay constants; a single exponential decay fit can then mislead.

For a wholly stipulated example, choose $R=120{\min }^{-1}$, half-life $2\min$ and $t_i=4\min$. Then $\lambda =\log 2/(2\min )$, $\overline{A}(t_i)=90{\min }^{-1}$ and $\overline{N}(t_i)\simeq 259.69$. Choose $\epsilon =0.25$, $b=2{\min }^{-1}$ and $d=\Delta =2\min$. The result isThe background contributes four expected counts. Multiplying the initial net count rate in that window by its duration would give $22.5$ net counts, overestimating the integrated $16.23$ because the product decays appreciably during counting. All these values and the following curves are original examples, not measured historical data or parameters assigned to a particular silver isotope.

Let $n(E)dE$ be the number of neutrons per unit volume in an energy interval. The scalar neutron flux per unit energy is $\varphi (E)=v(E)n(E)$, with $v(E)$ the speed. Its integral has units of inverse area per unit time. It counts path length traversed per volume per time, including all directions; it is not the signed current through an oriented surface.

For a small uniform specimen containing $N_T$ target atomic nuclei, a reaction-specific collision cross-section ${\sigma }_a(E)$ gives the expected production rateAssume the incident field is little changed within the specimen, target depletion is negligible and each counted reaction creates the product of interest. If that product has a production branching fraction below one, include it in ${\sigma }_a$ or as an additional factor. A single neutron activation measurement supplies one weighted integral of an energy distribution, not a unique reconstruction of that distribution.

For an original two-group example, stipulate response collision cross-sections ${\sigma }_s=10{\sigma }_f$. With the same total scalar neutron flux $\Phi$, changing from all fast neutrons to half slow and half fast changes $R/(N_T{\sigma }_f\Phi )$ from $1$ to $5.5$. No additional neutrons need be emitted by the source. The chosen factor ten is not a historical silver measurement.

For some capture reactions over a limited low-energy interval, ${\sigma }_a\propto 1/v$ is a useful approximation. At fixed neutron flux, it gives increasing reaction probability per path length as speed decreases. At fixed neutron number density, ${\sigma }_{a}v$ is constant in this approximation, so the rate per target is unchanged. A real neutron moderator changes the local density, energy distribution, escape and absorption together. Neither all collision cross-sections nor all neutron activation rates vary monotonically as $1/v$.

Otto Stern developed molecular-beam methods that infer microscopic properties from controlled particle trajectories. With Walther Gerlach, he sent a neutral silver beam through a magnetic field gradient, producing discrete deposited components. The beam's translational motion carries information about its internal magnetic moment projection to a macroscopic detector. Changing the magnetic field geometry or the beam preparation changes that mapping, making the apparatus part of the interpretation of the Stern-Gerlach experiment.^[ref][ref]

A physicist.^[ref]

The Stern-Gerlach experiment with Walther Gerlach tested the deflection of a neutral silver atomic beam in a nonuniform magnetic field.

Group 6: cohesion increases from chromium to molybdenum to tungsten. partially occupied d bands make a major contribution to metallic cohesion. Relative to localized 3d orbitals in Cr, more extended 4d/5d orbitals support stronger overlap and broader bonding bands. Strong 5d bonding and the compact dimensions associated with lanthanide/relativistic effects help make W especially cohesive.

Group 11: cohesion increases from silver to copper to gold. the filled d shell changes the balance from Group 6. Going from Cu to larger Ag weakens overlap and lowers cohesion. Gold reverses that simple size trend: relativistic 6s stabilization/contraction, changes in the 5d orbitals and stronger s-d participation enhance bonding. A size-only argument cannot explain Au exceeding both Ag and Cu.

Group 15, As > Sb > Bi: bonding in these elemental solids involves directional p-orbital interactions. Increasing size and longer separations weaken overlap down the group, reducing enthalpy of atomization. Changes in detailed solid structure and relativistic effects refine the numbers, but the underlying weakening of p-derived bonding explains the trend.

Enthalpy of atomization measures removal from the entire standard-state solid to gaseous ground-state atoms; it is not simply the dissociation energy of one selected diatomic bond.

The horizontal axis is copper mass percentage. The two liquidus branches meet at $(28\%,779^{\circ }\mathrm{C})$ and connect to pure silver at $960^{\circ }\mathrm{C}$ and pure copper at $1083^{\circ }\mathrm{C}$. The terminal solid-solution boundaries at the eutectic temperature are $9\%$ Cu for $\alpha$ and $92\%$ Cu for $\beta$. Label the single-phase fields $L,\alpha ,\beta$, the two liquid-plus-solid fields $L+\alpha ,L+\beta$, and the lower two-solid field $\alpha +\beta$.

The solidus boundaries link the pure-component melting points to their terminal solubility limits; the eutectic isotherm spans the three-phase tie line. Below it, the solvus branches approach pure Ag and pure Cu at room temperature. The supplied data determine this topology and the marked points, not the exact shapes of every boundary. The drawing therefore does not invent a numerical liquidus temperature for an intermediate composition.

The room-temperature endpoints are pure Ag and pure Cu. Conservation of the total copper mass therefore givesThe answer is 72% silver phase and 28% copper phase by mass. The change from the high-temperature fractions is caused by decreasing solid solubility: the phases reject the opposite component during equilibrium cooling. Simply retaining the eutectic-temperature lever-rule fractions would violate the stipulated room-temperature equilibrium compositions.

In a suitably dilute, nonoxidizing chemical acid, hydrogen sulfide precipitates the sufficiently insoluble sulfides, including those of copper, lead, Mercury, bismuth, cadmium, arsenic, antimony and tin. “Sulphuretted hydrogen” is the historical name for hydrogen sulfide, ${\mathrm{H}}_2\mathrm{S}$. Oxidation state and acidity must be specified: the statement is not independent of every possible chemical solution condition.

Arsenic is now classed as a metalloid; the historical analytical grouping was not a rigorous modern division into metals and nonmetals. Dissolved silver also gives black ${\mathrm{Ag}}_2\mathrm{S}$ in acidic conditions. It is often absent from the conventional second analytical group because a preceding hydrochloric acid treatment has already removed it as silver chloride. Suitable gold and platinum solutions can likewise yield dark sulfide precipitates, although their speciation and reduction chemistry make a simple universal colour rule inappropriate. Thus an analytical group is a separation convention, not a list of every ion that can possibly react.

For a divalent metal ion, a useful net balance isThe selectivity follows from two coupled chemical equilibrium conditions. Hydrogen sulfide is a weak acid; increasing $[{\mathrm{H}}^{+}]$ suppresses its ionization. Approximately,Even this small sulfide activity can exceed the solubility product of very insoluble sulfides. More soluble sulfides, such as those of zinc and manganese, generally require less acidic or alkaline conditions. Consequently an excessively strong chemical acid, complex formation or an oxidizing medium can change the result. Colours alone are preliminary indications, not final identification.^[ref]

The traditional preparation treats iron(II) sulfide with a dilute nonoxidizing chemical acid:A gas-generating flask with controlled acid entry and a delivery outlet conducts the product to the test solution. The apparatus must permit gas flow and contain the effluent rather than accumulating pressure in a sealed vessel. Sulfuric acid in dilute form can replace hydrochloric acid; concentrated oxidizing acids are unsuitable for this simple preparation. Hydrogen sulfide is acutely toxic, and loss of odour perception makes smell an unreliable warning: the historical apparatus describes a laboratory principle, not a household test.^[ref]

Translation. Just as this great narrowness of the blood vessels, particularly in a body of this kind, had perhaps been the beginning of all the diseases, so I do not doubt that the hardness of the pancreas, and still more that of the duodenum, was the cause of the vomiting. For whether that portion of the intestine is constricted by compression, as Riolan long ago observed, whom you will see cited here in the Sepulchretum by Théophile Bonet, or whether, because its coats are scirrhous, it is quite unable to contract, these opposite causes are followed by the same effect: since the contents about to descend from the stomach are either less readily received or less readily propelled onwards, most of them remain in the stomach, and there, either becoming corrupted or simply troublesome and oppressive through their delay, provoke vomiting. The distinguished Molinelli has also published a clear example of this. The same thing must happen when the pylorus is affected by defects of the same kind.

You have very many examples here in the Sepulchretum by Théophile Bonet, as in Observations XI and XVII and most of the others following almost as far as XXVI, and again in LVI, §13; in the Additions, in Observations I and VIII; and indeed elsewhere, as in Book I, Section IX, not only in Observation XXXIV but also, if you attend to those “upturnings”, in XXXIII. Among those which you will read in this Section VIII, when you come to Observation XXI, not very unlike another supplied by Johannes Bohn, and find there that vomiting of all food and finally death within ten days followed blockage of the pylorus by a small silver coin which had been swallowed, you will undoubtedly recall that much larger silver coin which the skilful surgeon du Luc successfully dislodged from that place and indeed out of the body. He did so with other aids, but especially with mercury: pressing it onwards by its gravitational weight and reducing it by amalgamation, as the chemists call it, when pains near the pylorus had already begun, with an urge to vomit (the printed laevi at this point is unclear).

The central inference is that different impairments of passage can produce the same vomiting. The author is Giovanni Battista Morgagni; the extract corresponds to Book III, Letter XXX, article 13 of The Seats and Causes of Diseases Investigated by Anatomy by Giovanni Battista Morgagni. The opening haec, “this”, points back to an anatomical case preceding the selected extract. The translation preserves the difference between the tentative claim fortasse, “perhaps”, about the narrow blood vessels and the stronger non dubito, “I do not doubt”, about the cause of vomiting. It does not convert either level of historical confidence into a present-day demonstrated diagnosis. ^{[ref] [ref]}

The two mechanisms are not contradictory observations. Compression can narrow the entrance to the duodenum; hard, poorly contracting intestinal coats can fail to propel their contents onwards. Both impede gastric emptying, allowing retained material to provoke vomiting. This is an early example of connecting clinical observation with pathological anatomy. Nevertheless, gross hardness, described as scirrhous, does not by itself supply a modern microscopic diagnosis of scirrhous carcinoma. The descriptive term scirrhous hardening is therefore kept distinct from that modern category. The separate assertion about the pancreas likewise cannot identify its precise disease from this extract alone.

The Sepulchretum by Théophile Bonet is an earlier compilation of anatomical observations. Its cited observation numbers are retained because they are part of the argument's trail of evidence, including the distinction between Section VIII and the additional cross-reference to Book I, Section IX. Subversiones literally means “upturnings”; in this context the reference concerns disturbances or upheavals of the stomach, not a political meaning. Ventriculus here is the stomach, not a cardiac heart ventricle. The printed word laevi near the end is grammatically unclear in its context; the translation gives the secure surrounding sense and does not silently assign it a patient's identity, an anatomical side, or a new causal claim. ^{[ref] [ref]}

The coin episode reports an attempted mechanical and chemical remedy, not a modern recommended treatment. In the text, mercury is supposed both to press the coin onwards through its gravitational weight and to reduce it by amalgamation with its silver. The report does not establish the contribution of each mechanism, the extent of the coin's alteration, or therapeutic safety. Its purported success should not be generalized from a historical anecdote. Modern toxicological information distinguishes the chemical forms of mercury and their routes of exposure: swallowed liquid metal is poorly absorbed, whereas vapour is readily absorbed and can cause serious harm. This distinction neither validates the historical intervention nor warrants the false correction that any swallowed metallic mercury must immediately produce systemic poisoning. ^[ref]

Modern investigation also separates obstruction from impaired movement. Endoscopy uses a flexible instrument with a camera to inspect the upper digestive passage for structural abnormalities; a gastric emptying scintigraphy test instead follows a meal containing a small radioactive tracer with an external camera. These examinations illustrate how the proposed impediment to passage can now be tested rather than inferred from vomiting alone. They are later developments, not techniques available to the author of this passage. ^[ref]