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Study Guide: Helium-4: Properties, Origins, and Phenomena

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Helium-4: Properties, Origins, and Phenomena Study Guide

Nuclear Structure and Properties

The nucleus of Helium-4 is composed of two protons and two neutrons.

Answer: True

Explanation: The nucleus of the Helium-4 isotope, denoted as 4He, consists precisely of two protons and two neutrons, forming a highly stable configuration.

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Helium-4 is classified as a fermion because its nucleus has an integer spin.

Answer: False

Explanation: Helium-4 is classified as a boson, not a fermion. This classification stems from its nucleus having an integer spin (zero), which is characteristic of bosons.

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The Helium-4 nucleus is termed 'doubly magic' due to its stable electron configuration in the 1s orbital.

Answer: False

Explanation: The term 'doubly magic' refers to the nucleus having both its proton number (2) and neutron number (2) as nuclear magic numbers, indicating exceptional nuclear stability, not its electron configuration.

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Helium-4's nucleus has a spin of 0, classifying it as a boson.

Answer: True

Explanation: The Helium-4 nucleus possesses a total nuclear spin of zero, which is an integer value, thereby classifying it as a boson.

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The Helium-4 nucleus is considered 'doubly magic' because it contains two protons and two electrons.

Answer: False

Explanation: The 'doubly magic' designation refers to the nucleus having proton and neutron counts that are nuclear magic numbers (2 protons, 2 neutrons). The number of electrons is irrelevant to this nuclear property.

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What is the primary characteristic that defines Helium-4?

Answer: A stable isotope with 2 protons and 2 neutrons.

Explanation: Helium-4 is defined by its stable nucleus, which comprises two protons and two neutrons. This composition makes it the most common isotope of helium.

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Why is the Helium-4 nucleus classified as a boson?

Answer: Its total nuclear spin is an integer (zero).

Explanation: Particles are classified as bosons if their total spin is an integer. The Helium-4 nucleus has a spin of 0, which is an integer, thus classifying it as a boson.

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The term 'doubly magic' applied to the Helium-4 nucleus signifies:

Answer: Both its proton and neutron counts are magic numbers.

Explanation: 'Doubly magic' refers to the nucleus having both its proton number (2) and neutron number (2) correspond to nuclear magic numbers, indicating exceptional stability.

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The Helium-4 nucleus is described as 'doubly magic' because:

Answer: Its proton number (2) and neutron number (2) are both magic numbers.

Explanation: The designation 'doubly magic' for the Helium-4 nucleus signifies that both its proton count (2) and neutron count (2) correspond to nuclear magic numbers, indicating exceptional nuclear stability.

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The Helium-4 nucleus is identical in composition to which other particle?

Answer: An alpha particle

Explanation: An alpha particle is defined as a Helium-4 nucleus, consisting of two protons and two neutrons. Therefore, the Helium-4 nucleus is identical in composition to an alpha particle.

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Isotopes and Stability

Helium-4 is a radioactive isotope of helium that decays quickly.

Answer: False

Explanation: Helium-4 is characterized as a stable isotope of helium, not a radioactive one that decays quickly. Its stability is a key property.

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Alpha decay is a common radioactive process because the Helium-4 nucleus emitted is highly unstable.

Answer: False

Explanation: Alpha decay is common precisely because the emitted Helium-4 nucleus (alpha particle) is exceptionally stable, making it an energetically favorable particle to eject from unstable heavy nuclei.

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The binding energy curve shows that Helium-4 has a lower binding energy per nucleon than isotopes immediately surrounding it.

Answer: False

Explanation: The binding energy curve demonstrates that Helium-4 possesses a significantly higher binding energy per nucleon than isotopes immediately adjacent to it, indicating its exceptional nuclear stability.

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Helium-3 differs from Helium-4 primarily because it contains fewer protons.

Answer: False

Explanation: Helium-3 and Helium-4 both contain two protons. The primary difference is that Helium-3 has one neutron, while Helium-4 has two neutrons.

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The stability of the Helium-4 nucleus makes alpha decay a less common radioactive process compared to others.

Answer: False

Explanation: The stability of the Helium-4 nucleus makes it the preferred particle emitted in alpha decay, rendering alpha decay a very common radioactive process.

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Helium-4 is the most abundant isotope of helium found naturally.

Answer: True

Explanation: Helium-4 is indeed the most common isotope of helium encountered naturally, both on Earth and in the cosmos.

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The binding energy curve shows Helium-4 has the highest binding energy per nucleon of all known isotopes.

Answer: False

Explanation: While Helium-4 has a very high binding energy per nucleon, indicating exceptional stability, isotopes around Iron-56 have the highest binding energy per nucleon.

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The stability of the Helium-4 nucleus makes it the most common particle emitted during which type of radioactive decay?

Answer: Alpha decay

Explanation: The exceptional stability of the Helium-4 nucleus makes it the most common particle emitted during alpha decay, where an alpha particle (Helium-4 nucleus) is ejected from an unstable nucleus.

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What does the binding energy curve illustrate regarding Helium-4's nucleus?

Answer: It is exceptionally stable due to high binding energy per particle compared to neighbors.

Explanation: The binding energy curve shows that Helium-4 has a peak in binding energy per nucleon relative to its neighbors, indicating its nucleus is exceptionally stable and tightly bound.

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What distinguishes Helium-3 from Helium-4?

Answer: Helium-3 has one neutron, while Helium-4 has two neutrons.

Explanation: The primary difference between Helium-3 and Helium-4 is their neutron count: Helium-3 has one neutron, while Helium-4 has two neutrons. Both have two protons and are stable isotopes.

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What is the primary difference between Helium-4 and Helium-3?

Answer: Helium-4 has two neutrons, while Helium-3 has only one.

Explanation: The key distinction between Helium-4 and Helium-3 is the number of neutrons: Helium-4 possesses two neutrons, whereas Helium-3 contains only one neutron. Both isotopes have two protons.

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The stability of the Helium-4 nucleus is a key factor in:

Answer: The commonality of alpha decay in heavy nuclei.

Explanation: The exceptional stability of the Helium-4 nucleus makes it the preferred particle emitted during alpha decay, thus contributing to the prevalence of this radioactive process in heavy elements.

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Cosmological and Stellar Origins

Most Helium-4 found on Earth originates from the Sun's fusion processes.

Answer: False

Explanation: While the Sun is a significant site of Helium-4 production via fusion, most Helium-4 found on Earth originates from the alpha decay of radioactive elements within the Earth's crust, not directly from solar fusion.

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The exceptional energetic stability of the Helium-4 nucleus makes its formation unfavorable in fusion reactions.

Answer: False

Explanation: Conversely, the high energetic stability of the Helium-4 nucleus makes its formation highly favorable and energetically advantageous in fusion reactions, such as those occurring in stars.

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Helium-3 is the preferred product over Helium-4 in the Sun's fusion processes because it releases more energy.

Answer: False

Explanation: Helium-4 is the preferred product in solar fusion because its formation releases more energy due to its higher binding energy per nucleon, not Helium-3.

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During the Big Bang, the stability of Helium-4 led to its rapid formation, consuming most available free neutrons.

Answer: True

Explanation: The high nuclear stability of Helium-4 was a critical factor in Big Bang nucleosynthesis, driving its rapid formation and consuming a large fraction of the available free neutrons.

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The rapid cooling of the early universe prevented the formation of elements heavier than Helium-4 because intermediate elements were too stable.

Answer: False

Explanation: The formation of elements heavier than Helium-4 was limited not by the stability of intermediate elements, but by the rarity of the triple-alpha process required to fuse three Helium-4 nuclei, which was hindered by the rapid cooling and instability of intermediate nuclei like Beryllium-8.

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Hydrogen and Helium-4 together constitute approximately 98% of the ordinary matter in the universe by mass.

Answer: True

Explanation: Current cosmological models and observations indicate that hydrogen and Helium-4 comprise roughly 98% of the universe's ordinary baryonic matter by mass.

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The formation of Helium-4 in the early universe consumed most free protons, leaving neutrons abundant.

Answer: False

Explanation: The formation of Helium-4 consumed most of the available *neutrons*, leaving protons as the most abundant remaining nucleon species.

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Why is Helium-4 the predominant helium isotope formed during fusion in the Sun?

Answer: Helium-4's nucleus has a much higher binding energy per nucleon.

Explanation: The formation of Helium-4 is energetically favored in stellar fusion due to its significantly higher binding energy per nucleon, releasing more energy compared to the formation of other helium isotopes.

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In the context of the early universe, what was the primary role of Helium-4's nuclear stability?

Answer: It consumed most available neutrons, setting the H-He ratio.

Explanation: The high stability of Helium-4 during Big Bang nucleosynthesis led to its rapid formation, consuming most free neutrons and establishing the primordial ratio of hydrogen to helium.

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Why was the formation of elements heavier than Helium-4 limited in the early universe?

Answer: The required triple-alpha process was too rare due to rapid cooling and intermediate instability.

Explanation: The formation of elements heavier than Helium-4 was limited because the triple-alpha process (fusing three He-4 nuclei) was improbable due to rapid universal cooling and the instability of intermediate nuclei like Beryllium-8.

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What percentage of the universe's ordinary matter is composed of Hydrogen and Helium-4 by mass, approximately?

Answer: 98%

Explanation: Hydrogen and Helium-4 together constitute approximately 98% of the ordinary matter in the universe by mass, with hydrogen being about 75% and Helium-4 about 23%.

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Which statement best describes the role of Helium-4's stability in stellar fusion?

Answer: It drives fusion processes towards Helium-4 as the most stable, energy-releasing outcome.

Explanation: The high stability and binding energy of Helium-4 make its formation the most energetically favorable and dominant outcome of hydrogen fusion in stars.

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The rapid formation of Helium-4 during the Big Bang significantly limited the abundance of which particles remaining?

Answer: Neutrons

Explanation: The rapid synthesis of stable Helium-4 nuclei during the Big Bang consumed most of the available free neutrons before they could decay, thus limiting the abundance of neutrons available for forming heavier elements.

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What is the approximate mass percentage of Helium-4 in the universe today?

Answer: Approximately 23%

Explanation: Helium-4 constitutes approximately 23% of the ordinary matter in the universe by mass, with hydrogen making up the majority (around 75%).

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Terrestrial Occurrence and Production

Helium-4 makes up nearly all the helium found on Earth.

Answer: True

Explanation: Helium-4 is indeed the predominant isotope of helium found on Earth, constituting almost the entirety of terrestrial helium reserves.

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Primordial helium refers to Helium-4 produced by radioactive decay within Earth's crust.

Answer: False

Explanation: Primordial helium refers to Helium-4 synthesized during the Big Bang nucleosynthesis in the early universe. Helium-4 produced on Earth via radioactive decay is a separate terrestrial source.

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Where is Helium-4 primarily produced on Earth?

Answer: Via alpha decay of heavy radioactive elements in the Earth's crust.

Explanation: While Helium-4 is produced in stars, the Helium-4 found on Earth predominantly originates from the alpha decay of heavy radioactive isotopes present within the Earth's crust.

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What is the approximate abundance of Helium-4 in Earth's atmosphere?

Answer: 99.999863%

Explanation: Helium-4 constitutes an overwhelming majority of helium in Earth's atmosphere, approximately 99.999863%.

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Primordial helium, formed during the Big Bang, is largely absent from Earth's atmosphere today because:

Answer: It escaped Earth's gravity under the formation conditions.

Explanation: Much of the primordial Helium-4 created during the Big Bang likely escaped Earth's gravitational pull during the planet's formation or early history, contributing to its lower abundance compared to terrestrial sources.

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Quantum Phenomena: Superfluidity and Condensates

Liquid Helium-4 transitions into a superfluid state at temperatures slightly above room temperature.

Answer: False

Explanation: The transition to a superfluid state for Helium-4 occurs at extremely low temperatures, specifically below 2.17 Kelvin, far below room temperature.

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Superfluid Helium-4 can exhibit a phenomenon where a thin film creeps up the sides of its container.

Answer: True

Explanation: This phenomenon, known as the Rollin film, is a characteristic behavior of superfluid Helium-4, where it can migrate along surfaces, seemingly defying gravity.

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The superfluid behavior of Helium-4 is understood as a macroscopic effect of Bose-Einstein condensation.

Answer: True

Explanation: The unique superfluid properties of Helium-4 at low temperatures are indeed explained by Bose-Einstein condensation, a quantum phenomenon where bosons occupy the lowest energy state.

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Solid Helium-4 is theorized to potentially form a 'superglass' state at standard atmospheric pressure and freezing temperatures.

Answer: False

Explanation: The theorized superglass state for solid Helium-4 occurs under conditions of very low temperature and high pressure, not standard atmospheric pressure and freezing temperatures.

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A Rollin film allows superfluid Helium-4 to flow downwards out of a container, defying gravity.

Answer: False

Explanation: A Rollin film allows superfluid Helium-4 to creep *up* the sides of a container, potentially leading to flow out of the container, but it's the climbing action that is the key characteristic, not simply flowing downwards.

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Helium-4's nature as a boson is essential for its ability to form a Bose-Einstein condensate.

Answer: True

Explanation: Bose-Einstein condensation requires particles to be bosons, which can occupy the same quantum state. Helium-4's bosonic nature is fundamental to this phenomenon and its resulting superfluidity.

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A superglass state is characterized by properties of a crystalline solid and superfluidity.

Answer: False

Explanation: A superglass state is theorized to combine properties of an *amorphous* solid with superfluidity, not a crystalline solid.

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Superfluid Helium-4 exhibits zero viscosity, allowing it to flow without resistance.

Answer: True

Explanation: A defining characteristic of superfluid Helium-4 is its zero viscosity, enabling frictionless flow.

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What phenomenon occurs when liquid Helium-4 is cooled below 2.17 Kelvin?

Answer: It becomes a superfluid with unique properties.

Explanation: Upon cooling below the lambda point (2.17 K), liquid Helium-4 transitions into a superfluid state, exhibiting properties such as zero viscosity and quantized vortices.

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The ability of superfluid Helium-4 to creep up the sides of a container is known as the:

Answer: Rollin film phenomenon

Explanation: The phenomenon where superfluid Helium-4 forms a thin film that creeps along surfaces, potentially climbing container walls, is termed the Rollin film.

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What quantum phenomenon is considered the underlying cause of Helium-4's superfluidity?

Answer: Bose-Einstein condensation

Explanation: Superfluidity in Helium-4 is understood as a macroscopic manifestation of Bose-Einstein condensation, a quantum state achieved by bosons at very low temperatures.

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Under what conditions is solid Helium-4 theorized to potentially exist as a superglass?

Answer: Near absolute zero and high pressure.

Explanation: The superglass state for solid Helium-4 is theorized to occur under conditions of extremely low temperatures (near absolute zero) and elevated pressures.

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The phenomenon of superfluid Helium-4 creeping up container walls is known as a:

Answer: Rollin film

Explanation: The characteristic behavior of superfluid Helium-4 climbing container walls is referred to as the Rollin film phenomenon.

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Which statement best describes the superglass state theorized for solid Helium-4?

Answer: A state combining amorphous solidity with superfluidity.

Explanation: The superglass state is a theoretical phase of matter where a substance exhibits characteristics of both an amorphous solid and superfluidity simultaneously.

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The Helium-4 nucleus's spin of 0 is crucial for which low-temperature phenomenon?

Answer: Superfluidity via Bose-Einstein condensation

Explanation: Helium-4's spin of 0 classifies it as a boson, enabling it to undergo Bose-Einstein condensation at low temperatures, which is the underlying mechanism for its superfluidity.

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Atomic Properties and Chemical Behavior

The distribution of charge density within the Helium-4 nucleus closely mirrors that of its electron cloud.

Answer: True

Explanation: Experimental observations indicate that the charge density distribution of the Helium-4 nucleus exhibits a symmetry that closely resembles that of its electron cloud.

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The stability of the Helium-4 electron cloud results from unpaired electrons occupying high-energy orbitals.

Answer: False

Explanation: The stability of the Helium-4 electron cloud arises from paired electrons occupying the lowest energy (1s) orbitals with opposite spins, not from unpaired electrons in high-energy orbitals.

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Helium's chemical inertness is a direct consequence of its stable electron configuration.

Answer: True

Explanation: The exceptionally stable electron configuration of helium, with its filled 1s orbital, is the primary reason for its chemical inertness.

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A helium discharge tube demonstrates helium absorbing ambient light when electricity passes through it.

Answer: False

Explanation: A helium discharge tube demonstrates helium *emitting* light when electricity passes through it, due to excitation of its atoms, not absorbing ambient light.

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The illustration of the helium atom shows its nucleus as less symmetrical than its electron cloud.

Answer: False

Explanation: The illustration notes that the Helium-4 nucleus is actually spherically symmetric and closely resembles the symmetry of its electron cloud, contrary to the statement.

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Helium-4's weak intermolecular forces contribute to its high melting and boiling points.

Answer: False

Explanation: Weak intermolecular forces require very little energy to overcome, resulting in Helium-4 having extremely low melting and boiling points, not high ones.

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Helium atoms interact strongly with each other due to their stable electron configuration.

Answer: False

Explanation: Helium atoms interact very weakly with each other. Their stable electron configuration leads to chemical inertness and minimal intermolecular forces, not strong interactions.

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What fundamental quantum mechanical principle explains the stability of the Helium-4 electron shell?

Answer: Fermions filling the lowest energy (1s) orbitals in pairs with opposite spins.

Explanation: The stability of the Helium-4 electron shell is due to its two electrons, which are fermions, filling the lowest energy 1s orbital in pairs with opposite spins, achieving a closed, stable configuration.

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Helium's chemical inertness and very low boiling point are consequences of:

Answer: The extreme stability and low energy of its electron cloud.

Explanation: The highly stable and low-energy electron configuration of helium results in both its chemical inertness and very weak intermolecular forces, leading to its low boiling point.

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The symmetry observed between the Helium-4 nucleus's charge distribution and its electron cloud is attributed to:

Answer: Both sets of particles following similar quantum mechanical rules for 1s orbitals.

Explanation: The observed symmetry arises because both the nucleus's nucleons and the atom's electrons occupy paired 1s orbitals, governed by similar quantum mechanical principles.

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Which statement accurately describes the Helium-4 atom's electron cloud stability?

Answer: It is stable because electrons fill the lowest energy 1s orbitals in pairs.

Explanation: The Helium-4 atom's electron cloud is stable because its two electrons occupy the lowest energy 1s orbital in pairs with opposite spins, forming a closed and energetically favorable configuration.

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Experimental Measurement and Theoretical Challenges

The wave equation for a helium atom can be solved exactly using analytical methods.

Answer: False

Explanation: The wave equation for the helium atom, involving three interacting bodies (nucleus and two electrons), presents a three-body problem that does not admit an exact analytical solution.

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Experiments using muonic helium atoms have been used to precisely measure the Helium-4 nucleus's charge radius.

Answer: True

Explanation: The precise measurement of the Helium-4 nucleus's charge radius has been achieved through experiments involving muonic helium atoms, where a muon replaces an electron.

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The 'three-body problem' for the helium atom involves the nucleus interacting with only one of its electrons.

Answer: False

Explanation: The 'three-body problem' for the helium atom involves the interactions between the nucleus and *both* of its electrons simultaneously, not just one.

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The difficulty in analytically solving the helium atom's wave equation is due to it being a:

Answer: Three-body problem

Explanation: The helium atom's wave equation involves the interactions of three bodies (the nucleus and two electrons), making it a 'three-body problem' that lacks an exact analytical solution.

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How is the charge radius of the Helium-4 nucleus measured with high precision?

Answer: Employing experiments with muonic helium atoms.

Explanation: High precision measurements of the Helium-4 nucleus's charge radius are obtained using experiments with muonic helium atoms, where a muon replaces an electron.

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The Helium-4 nucleus has a charge radius of approximately:

Answer: 1.67824 femtometers

Explanation: Experiments using muonic helium atoms have determined the charge radius of the Helium-4 nucleus to be approximately 1.67824 femtometers.

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