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Titration Calculations: Strong Acid - Strong Base02:28

Titration Calculations: Strong Acid - Strong Base

33.8K
Calculating pH for Titration Solutions: Strong Acid/Strong Base
A titration is carried out for 25.00 mL of 0.100 M HCl (strong acid) with 0.100 M of a strong base NaOH. The pH at different volumes of added base solution can be calculated as follows:
(a) Titrant volume = 0 mL. The solution pH is due to the acid ionization of HCl. Because this is a strong acid, the ionization is complete and the hydronium ion molarity is 0.100 M. The pH of the solution is then:
33.8K
Strong Acid and Base Solutions03:22

Strong Acid and Base Solutions

35.3K
A strong acid is a compound that dissociates completely in an aqueous solution and produces a concentration of hydronium ions equal to the initial concentration of acid. For example, 0.20 M hydrobromic acid will dissociate completely in water and produces 0.20 M of hydronium ions and 0.20 M of bromide ions.
35.3K
Titration of a Strong Acid with a Strong Base01:23

Titration of a Strong Acid with a Strong Base

10.3K
During the titration of a strong acid with a strong base, pH calculations are primarily based on the concentration of residual hydronium or hydroxide ions. Initially, a strong acid like hydrochloric acid fully dissociates, creating hydronium and chloride ions, resulting in a low pH. The addition of a strong base like sodium hydroxide alters the concentration of hydronium ions by neutralizing them. As more base is added, the pH gradually increases. At the equivalence point, all hydronium ions...
10.3K
Titration Calculations: Weak Acid - Strong Base03:55

Titration Calculations: Weak Acid - Strong Base

49.1K
Calculating pH for Titration Solutions: Weak Acid/Strong Base
For the titration of 25.00 mL of 0.100 M CH3CO2H with 0.100 M NaOH, the reaction can be represented as:
49.1K
Titration of a Weak Acid with a Strong Base01:30

Titration of a Weak Acid with a Strong Base

4.4K
In titrating a weak acid with a strong base, different calculation methods are applied at various stages. Initially, the pH of a weak acid like acetic acid is calculated using its dissociation constant (Ka) and an ICE table. Upon addition of a strong base such as sodium hydroxide, a buffer forms, and its pH is determined using the Henderson-Hasselbalch equation. As more base is added and the titration reaches the halfway point, the pH becomes equal to the pKa of the acid, indicating equal...
4.4K
Titration of Polyprotic Acids with a Strong Base01:23

Titration of Polyprotic Acids with a Strong Base

2.8K
Titration of a polyprotic acid, which contains multiple ionizable protons, involves distinct dissociation steps, each with its own dissociation constant (Ka). Each successive Ka is weaker than the previous one. In the titration of a polyprotic acid like sulfurous acid with a strong base such as sodium hydroxide, the base first neutralizes the initial ionizable proton, forming an intermediate species (e.g., hydrogen sulfite ions). This step's titration curve resembles that of a weak...
2.8K

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Updated: Jan 24, 2026

Light-driven Enzymatic Decarboxylation
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Light-driven Enzymatic Decarboxylation

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Strong Light-Field Driven Nanolasers.

Richard Hollinger1,2,3, Pavel Malevich4, Valentina Shumakova4

  • 1Institute of Optics and Quantum Electronics , Friedrich-Schiller University Jena , Max-Wien-Platz 1 , 07743 Jena , Germany.

Nano Letters
|May 24, 2019
PubMed
Summary
This summary is machine-generated.

Researchers achieved population inversion and lasing in semiconductor nanowires using low-energy light. This novel method relies on the wave nature of electrons, not photon energy, for excitation.

Keywords:
Semiconductor nanowireslasingmultiphotontunnel excitationultrafast

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Area of Science:

  • Quantum physics
  • Laser physics
  • Semiconductor science

Background:

  • Einstein's quantum theory of radiation underpins modern laser physics.
  • Multiphoton pumping using intense, ultrashort lasers is understood via the particle picture of light.
  • Excitation and population inversion in nonlinear regimes depend on photon energy and light intensity.

Purpose of the Study:

  • To demonstrate population inversion and lasing in semiconductor nanowires at significantly lower pump photon energies.
  • To explore excitation mechanisms beyond the traditional particle picture of light.
  • To investigate the role of light's wave nature in achieving population inversion.

Main Methods:

  • Utilizing semiconductor nanowires as the active gain medium.
  • Employing intense laser pumping with significantly reduced photon energy.
  • Analyzing the nonlinear interaction regime and electron behavior.

Main Results:

  • Population inversion and lasing were achieved in semiconductor nanowires with low pump photon energy.
  • The extremely high electric field of the pump induced band bending and electron tunneling.
  • Excitation became independent of frequency, relying solely on incident light intensity, indicating a wave-based mechanism.

Conclusions:

  • Population inversion and lasing can be achieved through mechanisms dominated by the wave nature of electrons.
  • Light's classical Coulomb force plays a crucial role in this low-frequency excitation regime.
  • This finding expands the understanding of light-matter interactions in semiconductor nanostructures.